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Finding the Fourth Proportional to 78,358.71, 108,135.42 and 42,548.70

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Solution

The fourth proportional to 78,358.71, 108,135.42 and 42,548.70 is: 58,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,358.71 : 108,135.42 = 42,548.70 : x
  2. Step 2: Convert to fraction form
    78,358.71/108,135.42 = 42,548.70/x
  3. Step 3: Cross multiply
    78,358.71x = 108,135.42 × 42,548.70
  4. Step 4: Simplify right side
    78,358.71x = 4,601,021,544.95
  5. Step 5: Solve for x
    x = 4,601,021,544.95/78,358.71
  6. Step 6: Final answer
    x = 58,717.42

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1.5x scale

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.