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Finding the Fourth Proportional to 78,497.60, 117,737.65 and 21,575.87

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Solution

The fourth proportional to 78,497.60, 117,737.65 and 21,575.87 is: 32,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,497.60 : 117,737.65 = 21,575.87 : x
  2. Step 2: Convert to fraction form
    78,497.60/117,737.65 = 21,575.87/x
  3. Step 3: Cross multiply
    78,497.60x = 117,737.65 × 21,575.87
  4. Step 4: Simplify right side
    78,497.60x = 2,540,292,230.51
  5. Step 5: Solve for x
    x = 2,540,292,230.51/78,497.60
  6. Step 6: Final answer
    x = 32,361.40

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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.