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Finding the Fourth Proportional to 118,454, 177,711.78 and 35,348

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Solution

The fourth proportional to 118,454, 177,711.78 and 35,348 is: 53,031.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,454 : 177,711.78 = 35,348 : x
  2. Step 2: Convert to fraction form
    118,454/177,711.78 = 35,348/x
  3. Step 3: Cross multiply
    118,454x = 177,711.78 × 35,348
  4. Step 4: Simplify right side
    118,454x = 6,281,755,999.44
  5. Step 5: Solve for x
    x = 6,281,755,999.44/118,454
  6. Step 6: Final answer
    x = 53,031.19

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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.