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Finding the Fourth Proportional to 135,126, 186,479.64 and 75,510

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Solution

The fourth proportional to 135,126, 186,479.64 and 75,510 is: 104,207.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,126 : 186,479.64 = 75,510 : x
  2. Step 2: Convert to fraction form
    135,126/186,479.64 = 75,510/x
  3. Step 3: Cross multiply
    135,126x = 186,479.64 × 75,510
  4. Step 4: Simplify right side
    135,126x = 14,081,077,616.40
  5. Step 5: Solve for x
    x = 14,081,077,616.40/135,126
  6. Step 6: Final answer
    x = 104,207.02

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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.