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Finding the Fourth Proportional to 78,016.32, 107,671.68 and 75,566.88

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Solution

The fourth proportional to 78,016.32, 107,671.68 and 75,566.88 is: 104,291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,016.32 : 107,671.68 = 75,566.88 : x
  2. Step 2: Convert to fraction form
    78,016.32/107,671.68 = 75,566.88/x
  3. Step 3: Cross multiply
    78,016.32x = 107,671.68 × 75,566.88
  4. Step 4: Simplify right side
    78,016.32x = 8,136,412,921.96
  5. Step 5: Solve for x
    x = 8,136,412,921.96/78,016.32
  6. Step 6: Final answer
    x = 104,291.17

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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.