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Finding the Fourth Proportional to 81,572.85, 122,102.64 and 56,123.46

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Solution

The fourth proportional to 81,572.85, 122,102.64 and 56,123.46 is: 84,008.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,572.85 : 122,102.64 = 56,123.46 : x
  2. Step 2: Convert to fraction form
    81,572.85/122,102.64 = 56,123.46/x
  3. Step 3: Cross multiply
    81,572.85x = 122,102.64 × 56,123.46
  4. Step 4: Simplify right side
    81,572.85x = 6,852,822,631.93
  5. Step 5: Solve for x
    x = 6,852,822,631.93/81,572.85
  6. Step 6: Final answer
    x = 84,008.62

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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.