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Finding the Fourth Proportional to 98,878.40, 148,277.64 and 61,382.96

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Solution

The fourth proportional to 98,878.40, 148,277.64 and 61,382.96 is: 92,049.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,878.40 : 148,277.64 = 61,382.96 : x
  2. Step 2: Convert to fraction form
    98,878.40/148,277.64 = 61,382.96/x
  3. Step 3: Cross multiply
    98,878.40x = 148,277.64 × 61,382.96
  4. Step 4: Simplify right side
    98,878.40x = 9,101,720,445.01
  5. Step 5: Solve for x
    x = 9,101,720,445.01/98,878.40
  6. Step 6: Final answer
    x = 92,049.63

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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.