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Finding the Fourth Proportional to 78,107.52, 107,787.52 and 42,296.64

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Solution

The fourth proportional to 78,107.52, 107,787.52 and 42,296.64 is: 58,368.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,107.52 : 107,787.52 = 42,296.64 : x
  2. Step 2: Convert to fraction form
    78,107.52/107,787.52 = 42,296.64/x
  3. Step 3: Cross multiply
    78,107.52x = 107,787.52 × 42,296.64
  4. Step 4: Simplify right side
    78,107.52x = 4,559,049,929.93
  5. Step 5: Solve for x
    x = 4,559,049,929.93/78,107.52
  6. Step 6: Final answer
    x = 58,368.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.