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Finding the Fourth Proportional to 145,902.86, 218,877.72 and 61,663.88

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Solution

The fourth proportional to 145,902.86, 218,877.72 and 61,663.88 is: 92,505.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,902.86 : 218,877.72 = 61,663.88 : x
  2. Step 2: Convert to fraction form
    145,902.86/218,877.72 = 61,663.88/x
  3. Step 3: Cross multiply
    145,902.86x = 218,877.72 × 61,663.88
  4. Step 4: Simplify right side
    145,902.86x = 13,496,849,460.75
  5. Step 5: Solve for x
    x = 13,496,849,460.75/145,902.86
  6. Step 6: Final answer
    x = 92,505.72

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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.