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Finding the Fourth Proportional to 139,702.68, 209,466.36 and 101,765.52

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Solution

The fourth proportional to 139,702.68, 209,466.36 and 101,765.52 is: 152,584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,702.68 : 209,466.36 = 101,765.52 : x
  2. Step 2: Convert to fraction form
    139,702.68/209,466.36 = 101,765.52/x
  3. Step 3: Cross multiply
    139,702.68x = 209,466.36 × 101,765.52
  4. Step 4: Simplify right side
    139,702.68x = 21,316,453,047.91
  5. Step 5: Solve for x
    x = 21,316,453,047.91/139,702.68
  6. Step 6: Final answer
    x = 152,584.42

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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.