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Finding the Fourth Proportional to 98,143.84, 147,225.28 and 38,966.25

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Solution

The fourth proportional to 98,143.84, 147,225.28 and 38,966.25 is: 58,453.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,143.84 : 147,225.28 = 38,966.25 : x
  2. Step 2: Convert to fraction form
    98,143.84/147,225.28 = 38,966.25/x
  3. Step 3: Cross multiply
    98,143.84x = 147,225.28 × 38,966.25
  4. Step 4: Simplify right side
    98,143.84x = 5,736,817,066.80
  5. Step 5: Solve for x
    x = 5,736,817,066.80/98,143.84
  6. Step 6: Final answer
    x = 58,453.15

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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.