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Finding the Fourth Proportional to 75,712.86, 112,985.96 and 66,498.30

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Solution

The fourth proportional to 75,712.86, 112,985.96 and 66,498.30 is: 99,235.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,712.86 : 112,985.96 = 66,498.30 : x
  2. Step 2: Convert to fraction form
    75,712.86/112,985.96 = 66,498.30/x
  3. Step 3: Cross multiply
    75,712.86x = 112,985.96 × 66,498.30
  4. Step 4: Simplify right side
    75,712.86x = 7,513,373,931.38
  5. Step 5: Solve for x
    x = 7,513,373,931.38/75,712.86
  6. Step 6: Final answer
    x = 99,235.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.