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Finding the Fourth Proportional to 98,078.97, 147,104.47 and 31,510.47

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Solution

The fourth proportional to 98,078.97, 147,104.47 and 31,510.47 is: 47,261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,078.97 : 147,104.47 = 31,510.47 : x
  2. Step 2: Convert to fraction form
    98,078.97/147,104.47 = 31,510.47/x
  3. Step 3: Cross multiply
    98,078.97x = 147,104.47 × 31,510.47
  4. Step 4: Simplify right side
    98,078.97x = 4,635,330,988.80
  5. Step 5: Solve for x
    x = 4,635,330,988.80/98,078.97
  6. Step 6: Final answer
    x = 47,261.21

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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.