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Finding the Fourth Proportional to 100,366.64, 138,507.91 and 55,041.98

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Solution

The fourth proportional to 100,366.64, 138,507.91 and 55,041.98 is: 75,959.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,366.64 : 138,507.91 = 55,041.98 : x
  2. Step 2: Convert to fraction form
    100,366.64/138,507.91 = 55,041.98/x
  3. Step 3: Cross multiply
    100,366.64x = 138,507.91 × 55,041.98
  4. Step 4: Simplify right side
    100,366.64x = 7,623,749,612.06
  5. Step 5: Solve for x
    x = 7,623,749,612.06/100,366.64
  6. Step 6: Final answer
    x = 75,959.00

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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.