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Finding the Fourth Proportional to 78,587.91, 117,904.84 and 25,278.68

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Solution

The fourth proportional to 78,587.91, 117,904.84 and 25,278.68 is: 37,925.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,587.91 : 117,904.84 = 25,278.68 : x
  2. Step 2: Convert to fraction form
    78,587.91/117,904.84 = 25,278.68/x
  3. Step 3: Cross multiply
    78,587.91x = 117,904.84 × 25,278.68
  4. Step 4: Simplify right side
    78,587.91x = 2,980,478,952.38
  5. Step 5: Solve for x
    x = 2,980,478,952.38/78,587.91
  6. Step 6: Final answer
    x = 37,925.41

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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.