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Finding the Fourth Proportional to 98,143.74, 147,171.87 and 35,770.50

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Solution

The fourth proportional to 98,143.74, 147,171.87 and 35,770.50 is: 53,639.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,143.74 : 147,171.87 = 35,770.50 : x
  2. Step 2: Convert to fraction form
    98,143.74/147,171.87 = 35,770.50/x
  3. Step 3: Cross multiply
    98,143.74x = 147,171.87 × 35,770.50
  4. Step 4: Simplify right side
    98,143.74x = 5,264,411,375.84
  5. Step 5: Solve for x
    x = 5,264,411,375.84/98,143.74
  6. Step 6: Final answer
    x = 53,639.81

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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.