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Finding the Fourth Proportional to 78,654.72, 117,978.65 and 25,345.51

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Solution

The fourth proportional to 78,654.72, 117,978.65 and 25,345.51 is: 38,017.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,654.72 : 117,978.65 = 25,345.51 : x
  2. Step 2: Convert to fraction form
    78,654.72/117,978.65 = 25,345.51/x
  3. Step 3: Cross multiply
    78,654.72x = 117,978.65 × 25,345.51
  4. Step 4: Simplify right side
    78,654.72x = 2,990,228,463.47
  5. Step 5: Solve for x
    x = 2,990,228,463.47/78,654.72
  6. Step 6: Final answer
    x = 38,017.15

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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.