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Finding the Fourth Proportional to 118,124.80, 177,148.80 and 39,225.60

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Solution

The fourth proportional to 118,124.80, 177,148.80 and 39,225.60 is: 58,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,124.80 : 177,148.80 = 39,225.60 : x
  2. Step 2: Convert to fraction form
    118,124.80/177,148.80 = 39,225.60/x
  3. Step 3: Cross multiply
    118,124.80x = 177,148.80 × 39,225.60
  4. Step 4: Simplify right side
    118,124.80x = 6,948,767,969.28
  5. Step 5: Solve for x
    x = 6,948,767,969.28/118,124.80
  6. Step 6: Final answer
    x = 58,825.65

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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.