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Finding the Fourth Proportional to 138,703.64, 191,411.02 and 75,041.44

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Solution

The fourth proportional to 138,703.64, 191,411.02 and 75,041.44 is: 103,557.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,703.64 : 191,411.02 = 75,041.44 : x
  2. Step 2: Convert to fraction form
    138,703.64/191,411.02 = 75,041.44/x
  3. Step 3: Cross multiply
    138,703.64x = 191,411.02 × 75,041.44
  4. Step 4: Simplify right side
    138,703.64x = 14,363,758,399.00
  5. Step 5: Solve for x
    x = 14,363,758,399.00/138,703.64
  6. Step 6: Final answer
    x = 103,557.18

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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.