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Finding the Fourth Proportional to 86,565.40, 129,848.10 and 57,016.60

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Solution

The fourth proportional to 86,565.40, 129,848.10 and 57,016.60 is: 85,524.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,565.40 : 129,848.10 = 57,016.60 : x
  2. Step 2: Convert to fraction form
    86,565.40/129,848.10 = 57,016.60/x
  3. Step 3: Cross multiply
    86,565.40x = 129,848.10 × 57,016.60
  4. Step 4: Simplify right side
    86,565.40x = 7,403,497,178.46
  5. Step 5: Solve for x
    x = 7,403,497,178.46/86,565.40
  6. Step 6: Final answer
    x = 85,524.90

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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.