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Finding the Fourth Proportional to 118,901.80, 178,360.80 and 37,842.40

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Solution

The fourth proportional to 118,901.80, 178,360.80 and 37,842.40 is: 56,766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,901.80 : 178,360.80 = 37,842.40 : x
  2. Step 2: Convert to fraction form
    118,901.80/178,360.80 = 37,842.40/x
  3. Step 3: Cross multiply
    118,901.80x = 178,360.80 × 37,842.40
  4. Step 4: Simplify right side
    118,901.80x = 6,749,600,737.92
  5. Step 5: Solve for x
    x = 6,749,600,737.92/118,901.80
  6. Step 6: Final answer
    x = 56,766.18

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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.