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Finding the Fourth Proportional to 76,377.92, 105,360.80 and 44,535.20

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Solution

The fourth proportional to 76,377.92, 105,360.80 and 44,535.20 is: 61,434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,377.92 : 105,360.80 = 44,535.20 : x
  2. Step 2: Convert to fraction form
    76,377.92/105,360.80 = 44,535.20/x
  3. Step 3: Cross multiply
    76,377.92x = 105,360.80 × 44,535.20
  4. Step 4: Simplify right side
    76,377.92x = 4,692,264,300.16
  5. Step 5: Solve for x
    x = 4,692,264,300.16/76,377.92
  6. Step 6: Final answer
    x = 61,434.83

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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.