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Finding the Fourth Proportional to 98,412.90, 147,400.65 and 76,154.10

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Solution

The fourth proportional to 98,412.90, 147,400.65 and 76,154.10 is: 114,061.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,412.90 : 147,400.65 = 76,154.10 : x
  2. Step 2: Convert to fraction form
    98,412.90/147,400.65 = 76,154.10/x
  3. Step 3: Cross multiply
    98,412.90x = 147,400.65 × 76,154.10
  4. Step 4: Simplify right side
    98,412.90x = 11,225,163,840.17
  5. Step 5: Solve for x
    x = 11,225,163,840.17/98,412.90
  6. Step 6: Final answer
    x = 114,061.92

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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.