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Finding the Fourth Proportional to 145,654.98, 218,375.55 and 61,411.74

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Solution

The fourth proportional to 145,654.98, 218,375.55 and 61,411.74 is: 92,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,654.98 : 218,375.55 = 61,411.74 : x
  2. Step 2: Convert to fraction form
    145,654.98/218,375.55 = 61,411.74/x
  3. Step 3: Cross multiply
    145,654.98x = 218,375.55 × 61,411.74
  4. Step 4: Simplify right side
    145,654.98x = 13,410,822,498.96
  5. Step 5: Solve for x
    x = 13,410,822,498.96/145,654.98
  6. Step 6: Final answer
    x = 92,072.53

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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.