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Finding the Fourth Proportional to 93,636, 140,454 and 31,308.12

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Solution

The fourth proportional to 93,636, 140,454 and 31,308.12 is: 46,962.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,636 : 140,454 = 31,308.12 : x
  2. Step 2: Convert to fraction form
    93,636/140,454 = 31,308.12/x
  3. Step 3: Cross multiply
    93,636x = 140,454 × 31,308.12
  4. Step 4: Simplify right side
    93,636x = 4,397,350,686.48
  5. Step 5: Solve for x
    x = 4,397,350,686.48/93,636
  6. Step 6: Final answer
    x = 46,962.18

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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.