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Finding the Fourth Proportional to 78,207.75, 107,927.46 and 42,397.68

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Solution

The fourth proportional to 78,207.75, 107,927.46 and 42,397.68 is: 58,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,207.75 : 107,927.46 = 42,397.68 : x
  2. Step 2: Convert to fraction form
    78,207.75/107,927.46 = 42,397.68/x
  3. Step 3: Cross multiply
    78,207.75x = 107,927.46 × 42,397.68
  4. Step 4: Simplify right side
    78,207.75x = 4,575,873,912.29
  5. Step 5: Solve for x
    x = 4,575,873,912.29/78,207.75
  6. Step 6: Final answer
    x = 58,509.21

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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.