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Finding the Fourth Proportional to 98,904.65, 148,356.93 and 65,689.55

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Solution

The fourth proportional to 98,904.65, 148,356.93 and 65,689.55 is: 98,534.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,904.65 : 148,356.93 = 65,689.55 : x
  2. Step 2: Convert to fraction form
    98,904.65/148,356.93 = 65,689.55/x
  3. Step 3: Cross multiply
    98,904.65x = 148,356.93 × 65,689.55
  4. Step 4: Simplify right side
    98,904.65x = 9,745,499,353.85
  5. Step 5: Solve for x
    x = 9,745,499,353.85/98,904.65
  6. Step 6: Final answer
    x = 98,534.29

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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.