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Finding the Fourth Proportional to 145,877.31, 218,728.35 and 57,024.99

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Solution

The fourth proportional to 145,877.31, 218,728.35 and 57,024.99 is: 85,503.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,877.31 : 218,728.35 = 57,024.99 : x
  2. Step 2: Convert to fraction form
    145,877.31/218,728.35 = 57,024.99/x
  3. Step 3: Cross multiply
    145,877.31x = 218,728.35 × 57,024.99
  4. Step 4: Simplify right side
    145,877.31x = 12,472,981,971.47
  5. Step 5: Solve for x
    x = 12,472,981,971.47/145,877.31
  6. Step 6: Final answer
    x = 85,503.24

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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.