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Finding the Fourth Proportional to 102,104.61, 140,904.45 and 56,781.60

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Solution

The fourth proportional to 102,104.61, 140,904.45 and 56,781.60 is: 78,358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,104.61 : 140,904.45 = 56,781.60 : x
  2. Step 2: Convert to fraction form
    102,104.61/140,904.45 = 56,781.60/x
  3. Step 3: Cross multiply
    102,104.61x = 140,904.45 × 56,781.60
  4. Step 4: Simplify right side
    102,104.61x = 8,000,780,118.12
  5. Step 5: Solve for x
    x = 8,000,780,118.12/102,104.61
  6. Step 6: Final answer
    x = 78,358.66

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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.