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Finding the Fourth Proportional to 98,473.47, 147,710.21 and 78,659.25

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Solution

The fourth proportional to 98,473.47, 147,710.21 and 78,659.25 is: 117,988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,473.47 : 147,710.21 = 78,659.25 : x
  2. Step 2: Convert to fraction form
    98,473.47/147,710.21 = 78,659.25/x
  3. Step 3: Cross multiply
    98,473.47x = 147,710.21 × 78,659.25
  4. Step 4: Simplify right side
    98,473.47x = 11,618,773,388.73
  5. Step 5: Solve for x
    x = 11,618,773,388.73/98,473.47
  6. Step 6: Final answer
    x = 117,988.87

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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.