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Finding the Fourth Proportional to 98,642.88, 147,964.32 and 91,557

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Solution

The fourth proportional to 98,642.88, 147,964.32 and 91,557 is: 137,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,642.88 : 147,964.32 = 91,557 : x
  2. Step 2: Convert to fraction form
    98,642.88/147,964.32 = 91,557/x
  3. Step 3: Cross multiply
    98,642.88x = 147,964.32 × 91,557
  4. Step 4: Simplify right side
    98,642.88x = 13,547,169,246.24
  5. Step 5: Solve for x
    x = 13,547,169,246.24/98,642.88
  6. Step 6: Final answer
    x = 137,335.50

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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.