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Finding the Fourth Proportional to 98,686.78, 147,907.52 and 45,322.16

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Solution

The fourth proportional to 98,686.78, 147,907.52 and 45,322.16 is: 67,926.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,686.78 : 147,907.52 = 45,322.16 : x
  2. Step 2: Convert to fraction form
    98,686.78/147,907.52 = 45,322.16/x
  3. Step 3: Cross multiply
    98,686.78x = 147,907.52 × 45,322.16
  4. Step 4: Simplify right side
    98,686.78x = 6,703,488,049.84
  5. Step 5: Solve for x
    x = 6,703,488,049.84/98,686.78
  6. Step 6: Final answer
    x = 67,926.91

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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.