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Finding the Fourth Proportional to 93,470.40, 140,205.60 and 31,140.90

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Solution

The fourth proportional to 93,470.40, 140,205.60 and 31,140.90 is: 46,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,470.40 : 140,205.60 = 31,140.90 : x
  2. Step 2: Convert to fraction form
    93,470.40/140,205.60 = 31,140.90/x
  3. Step 3: Cross multiply
    93,470.40x = 140,205.60 × 31,140.90
  4. Step 4: Simplify right side
    93,470.40x = 4,366,128,569.04
  5. Step 5: Solve for x
    x = 4,366,128,569.04/93,470.40
  6. Step 6: Final answer
    x = 46,711.35

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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.