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Finding the Fourth Proportional to 98,419.30, 147,629.66 and 42,211.98

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Solution

The fourth proportional to 98,419.30, 147,629.66 and 42,211.98 is: 63,318.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,419.30 : 147,629.66 = 42,211.98 : x
  2. Step 2: Convert to fraction form
    98,419.30/147,629.66 = 42,211.98/x
  3. Step 3: Cross multiply
    98,419.30x = 147,629.66 × 42,211.98
  4. Step 4: Simplify right side
    98,419.30x = 6,231,740,044.27
  5. Step 5: Solve for x
    x = 6,231,740,044.27/98,419.30
  6. Step 6: Final answer
    x = 63,318.27

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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.