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Finding the Fourth Proportional to 78,407.90, 117,497.03 and 38,886.08

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Solution

The fourth proportional to 78,407.90, 117,497.03 and 38,886.08 is: 58,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,407.90 : 117,497.03 = 38,886.08 : x
  2. Step 2: Convert to fraction form
    78,407.90/117,497.03 = 38,886.08/x
  3. Step 3: Cross multiply
    78,407.90x = 117,497.03 × 38,886.08
  4. Step 4: Simplify right side
    78,407.90x = 4,568,998,420.17
  5. Step 5: Solve for x
    x = 4,568,998,420.17/78,407.90
  6. Step 6: Final answer
    x = 58,272.17

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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.