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Finding the Fourth Proportional to 46,947,870.40, 70,421,805.60 and 21,438,702.40

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Solution

The fourth proportional to 46,947,870.40, 70,421,805.60 and 21,438,702.40 is: 32,158,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,947,870.40 : 70,421,805.60 = 21,438,702.40 : x
  2. Step 2: Convert to fraction form
    46,947,870.40/70,421,805.60 = 21,438,702.40/x
  3. Step 3: Cross multiply
    46,947,870.40x = 70,421,805.60 × 21,438,702.40
  4. Step 4: Simplify right side
    46,947,870.40x = 1,509,752,132,729,053.25
  5. Step 5: Solve for x
    x = 1,509,752,132,729,053.25/46,947,870.40
  6. Step 6: Final answer
    x = 32,158,053.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.