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Finding the Fourth Proportional to 145,922.88, 201,373.80 and 78,854.88

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Solution

The fourth proportional to 145,922.88, 201,373.80 and 78,854.88 is: 108,819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,922.88 : 201,373.80 = 78,854.88 : x
  2. Step 2: Convert to fraction form
    145,922.88/201,373.80 = 78,854.88/x
  3. Step 3: Cross multiply
    145,922.88x = 201,373.80 × 78,854.88
  4. Step 4: Simplify right side
    145,922.88x = 15,879,306,834.14
  5. Step 5: Solve for x
    x = 15,879,306,834.14/145,922.88
  6. Step 6: Final answer
    x = 108,819.86

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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.