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Finding the Fourth Proportional to 100,646.49, 138,864.19 and 66,644.10

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Solution

The fourth proportional to 100,646.49, 138,864.19 and 66,644.10 is: 91,950.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,646.49 : 138,864.19 = 66,644.10 : x
  2. Step 2: Convert to fraction form
    100,646.49/138,864.19 = 66,644.10/x
  3. Step 3: Cross multiply
    100,646.49x = 138,864.19 × 66,644.10
  4. Step 4: Simplify right side
    100,646.49x = 9,254,478,964.78
  5. Step 5: Solve for x
    x = 9,254,478,964.78/100,646.49
  6. Step 6: Final answer
    x = 91,950.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.