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Finding the Fourth Proportional to 98,642.16, 147,700.74 and 77,079.96

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Solution

The fourth proportional to 98,642.16, 147,700.74 and 77,079.96 is: 115,414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,642.16 : 147,700.74 = 77,079.96 : x
  2. Step 2: Convert to fraction form
    98,642.16/147,700.74 = 77,079.96/x
  3. Step 3: Cross multiply
    98,642.16x = 147,700.74 × 77,079.96
  4. Step 4: Simplify right side
    98,642.16x = 11,384,767,131.17
  5. Step 5: Solve for x
    x = 11,384,767,131.17/98,642.16
  6. Step 6: Final answer
    x = 115,414.82

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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.