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Finding the Fourth Proportional to 109,898.32, 164,439 and 65,549.20

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Solution

The fourth proportional to 109,898.32, 164,439 and 65,549.20 is: 98,080.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,898.32 : 164,439 = 65,549.20 : x
  2. Step 2: Convert to fraction form
    109,898.32/164,439 = 65,549.20/x
  3. Step 3: Cross multiply
    109,898.32x = 164,439 × 65,549.20
  4. Step 4: Simplify right side
    109,898.32x = 10,778,844,898.80
  5. Step 5: Solve for x
    x = 10,778,844,898.80/109,898.32
  6. Step 6: Final answer
    x = 98,080.16

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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.