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Finding the Fourth Proportional to 72,209.83, 99,646.86 and 40,384.88

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Solution

The fourth proportional to 72,209.83, 99,646.86 and 40,384.88 is: 55,729.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,209.83 : 99,646.86 = 40,384.88 : x
  2. Step 2: Convert to fraction form
    72,209.83/99,646.86 = 40,384.88/x
  3. Step 3: Cross multiply
    72,209.83x = 99,646.86 × 40,384.88
  4. Step 4: Simplify right side
    72,209.83x = 4,024,226,283.20
  5. Step 5: Solve for x
    x = 4,024,226,283.20/72,209.83
  6. Step 6: Final answer
    x = 55,729.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.