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Finding the Fourth Proportional to 81,134.68, 121,405.98 and 47,870.68

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Solution

The fourth proportional to 81,134.68, 121,405.98 and 47,870.68 is: 71,631.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,134.68 : 121,405.98 = 47,870.68 : x
  2. Step 2: Convert to fraction form
    81,134.68/121,405.98 = 47,870.68/x
  3. Step 3: Cross multiply
    81,134.68x = 121,405.98 × 47,870.68
  4. Step 4: Simplify right side
    81,134.68x = 5,811,786,818.67
  5. Step 5: Solve for x
    x = 5,811,786,818.67/81,134.68
  6. Step 6: Final answer
    x = 71,631.35

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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.