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Finding the Fourth Proportional to 80,565.40, 120,848.10 and 47,301.40

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Solution

The fourth proportional to 80,565.40, 120,848.10 and 47,301.40 is: 70,952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,565.40 : 120,848.10 = 47,301.40 : x
  2. Step 2: Convert to fraction form
    80,565.40/120,848.10 = 47,301.40/x
  3. Step 3: Cross multiply
    80,565.40x = 120,848.10 × 47,301.40
  4. Step 4: Simplify right side
    80,565.40x = 5,716,284,317.34
  5. Step 5: Solve for x
    x = 5,716,284,317.34/80,565.40
  6. Step 6: Final answer
    x = 70,952.10

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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.