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Finding the Fourth Proportional to 102,159.83, 140,985.14 and 85,135.61

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Solution

The fourth proportional to 102,159.83, 140,985.14 and 85,135.61 is: 117,490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,159.83 : 140,985.14 = 85,135.61 : x
  2. Step 2: Convert to fraction form
    102,159.83/140,985.14 = 85,135.61/x
  3. Step 3: Cross multiply
    102,159.83x = 140,985.14 × 85,135.61
  4. Step 4: Simplify right side
    102,159.83x = 12,002,854,764.23
  5. Step 5: Solve for x
    x = 12,002,854,764.23/102,159.83
  6. Step 6: Final answer
    x = 117,490.95

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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.