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Finding the Fourth Proportional to 145,146.64, 217,654.32 and 51,654.88

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Solution

The fourth proportional to 145,146.64, 217,654.32 and 51,654.88 is: 77,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,146.64 : 217,654.32 = 51,654.88 : x
  2. Step 2: Convert to fraction form
    145,146.64/217,654.32 = 51,654.88/x
  3. Step 3: Cross multiply
    145,146.64x = 217,654.32 × 51,654.88
  4. Step 4: Simplify right side
    145,146.64x = 11,242,907,781.08
  5. Step 5: Solve for x
    x = 11,242,907,781.08/145,146.64
  6. Step 6: Final answer
    x = 77,458.96

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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.