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Finding the Fourth Proportional to 83,709.81, 115,440.26 and 54,978.91

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Solution

The fourth proportional to 83,709.81, 115,440.26 and 54,978.91 is: 75,818.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,709.81 : 115,440.26 = 54,978.91 : x
  2. Step 2: Convert to fraction form
    83,709.81/115,440.26 = 54,978.91/x
  3. Step 3: Cross multiply
    83,709.81x = 115,440.26 × 54,978.91
  4. Step 4: Simplify right side
    83,709.81x = 6,346,779,101.42
  5. Step 5: Solve for x
    x = 6,346,779,101.42/83,709.81
  6. Step 6: Final answer
    x = 75,818.82

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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.