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Finding the Fourth Proportional to 70,578.31, 105,866.85 and 31,135.47

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Solution

The fourth proportional to 70,578.31, 105,866.85 and 31,135.47 is: 46,702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,578.31 : 105,866.85 = 31,135.47 : x
  2. Step 2: Convert to fraction form
    70,578.31/105,866.85 = 31,135.47/x
  3. Step 3: Cross multiply
    70,578.31x = 105,866.85 × 31,135.47
  4. Step 4: Simplify right side
    70,578.31x = 3,296,214,132.17
  5. Step 5: Solve for x
    x = 3,296,214,132.17/70,578.31
  6. Step 6: Final answer
    x = 46,702.93

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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.