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Finding the Fourth Proportional to 98,338.84, 147,508.40 and 42,142.50

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Solution

The fourth proportional to 98,338.84, 147,508.40 and 42,142.50 is: 63,213.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,338.84 : 147,508.40 = 42,142.50 : x
  2. Step 2: Convert to fraction form
    98,338.84/147,508.40 = 42,142.50/x
  3. Step 3: Cross multiply
    98,338.84x = 147,508.40 × 42,142.50
  4. Step 4: Simplify right side
    98,338.84x = 6,216,372,747
  5. Step 5: Solve for x
    x = 6,216,372,747/98,338.84
  6. Step 6: Final answer
    x = 63,213.81

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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.