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Finding the Fourth Proportional to 75,808.30, 113,712.45 and 42,551.72

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Solution

The fourth proportional to 75,808.30, 113,712.45 and 42,551.72 is: 63,827.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,808.30 : 113,712.45 = 42,551.72 : x
  2. Step 2: Convert to fraction form
    75,808.30/113,712.45 = 42,551.72/x
  3. Step 3: Cross multiply
    75,808.30x = 113,712.45 × 42,551.72
  4. Step 4: Simplify right side
    75,808.30x = 4,838,660,332.91
  5. Step 5: Solve for x
    x = 4,838,660,332.91/75,808.30
  6. Step 6: Final answer
    x = 63,827.58

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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.