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Finding the Fourth Proportional to 142,493.80, 213,632.70 and 72,423.40

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Solution

The fourth proportional to 142,493.80, 213,632.70 and 72,423.40 is: 108,580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,493.80 : 213,632.70 = 72,423.40 : x
  2. Step 2: Convert to fraction form
    142,493.80/213,632.70 = 72,423.40/x
  3. Step 3: Cross multiply
    142,493.80x = 213,632.70 × 72,423.40
  4. Step 4: Simplify right side
    142,493.80x = 15,472,006,485.18
  5. Step 5: Solve for x
    x = 15,472,006,485.18/142,493.80
  6. Step 6: Final answer
    x = 108,580.21

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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.