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Finding the Fourth Proportional to 81,155.52, 121,729.14 and 28,565.40

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Solution

The fourth proportional to 81,155.52, 121,729.14 and 28,565.40 is: 42,846.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,155.52 : 121,729.14 = 28,565.40 : x
  2. Step 2: Convert to fraction form
    81,155.52/121,729.14 = 28,565.40/x
  3. Step 3: Cross multiply
    81,155.52x = 121,729.14 × 28,565.40
  4. Step 4: Simplify right side
    81,155.52x = 3,477,241,575.76
  5. Step 5: Solve for x
    x = 3,477,241,575.76/81,155.52
  6. Step 6: Final answer
    x = 42,846.64

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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.