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Finding the Fourth Proportional to 78,197.34, 107,911.92 and 42,387.24

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Solution

The fourth proportional to 78,197.34, 107,911.92 and 42,387.24 is: 58,494.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,197.34 : 107,911.92 = 42,387.24 : x
  2. Step 2: Convert to fraction form
    78,197.34/107,911.92 = 42,387.24/x
  3. Step 3: Cross multiply
    78,197.34x = 107,911.92 × 42,387.24
  4. Step 4: Simplify right side
    78,197.34x = 4,574,088,451.90
  5. Step 5: Solve for x
    x = 4,574,088,451.90/78,197.34
  6. Step 6: Final answer
    x = 58,494.17

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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.