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Finding the Fourth Proportional to 100,551.16, 138,760.88 and 55,839.16

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Solution

The fourth proportional to 100,551.16, 138,760.88 and 55,839.16 is: 77,058.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,551.16 : 138,760.88 = 55,839.16 : x
  2. Step 2: Convert to fraction form
    100,551.16/138,760.88 = 55,839.16/x
  3. Step 3: Cross multiply
    100,551.16x = 138,760.88 × 55,839.16
  4. Step 4: Simplify right side
    100,551.16x = 7,748,290,980.06
  5. Step 5: Solve for x
    x = 7,748,290,980.06/100,551.16
  6. Step 6: Final answer
    x = 77,058.20

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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.