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Finding the Fourth Proportional to 98,159.78, 147,288.46 and 38,994.14

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Solution

The fourth proportional to 98,159.78, 147,288.46 and 38,994.14 is: 58,510.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,159.78 : 147,288.46 = 38,994.14 : x
  2. Step 2: Convert to fraction form
    98,159.78/147,288.46 = 38,994.14/x
  3. Step 3: Cross multiply
    98,159.78x = 147,288.46 × 38,994.14
  4. Step 4: Simplify right side
    98,159.78x = 5,743,386,829.62
  5. Step 5: Solve for x
    x = 5,743,386,829.62/98,159.78
  6. Step 6: Final answer
    x = 58,510.59

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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.