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Finding the Fourth Proportional to 145,862.76, 218,648.79 and 61,644.12

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Solution

The fourth proportional to 145,862.76, 218,648.79 and 61,644.12 is: 92,404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,862.76 : 218,648.79 = 61,644.12 : x
  2. Step 2: Convert to fraction form
    145,862.76/218,648.79 = 61,644.12/x
  3. Step 3: Cross multiply
    145,862.76x = 218,648.79 × 61,644.12
  4. Step 4: Simplify right side
    145,862.76x = 13,478,412,248.61
  5. Step 5: Solve for x
    x = 13,478,412,248.61/145,862.76
  6. Step 6: Final answer
    x = 92,404.75

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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.