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Finding the Fourth Proportional to 98,801.30, 148,229.69 and 39,678.48

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Solution

The fourth proportional to 98,801.30, 148,229.69 and 39,678.48 is: 59,528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,801.30 : 148,229.69 = 39,678.48 : x
  2. Step 2: Convert to fraction form
    98,801.30/148,229.69 = 39,678.48/x
  3. Step 3: Cross multiply
    98,801.30x = 148,229.69 × 39,678.48
  4. Step 4: Simplify right side
    98,801.30x = 5,881,528,591.68
  5. Step 5: Solve for x
    x = 5,881,528,591.68/98,801.30
  6. Step 6: Final answer
    x = 59,528.86

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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.