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Finding the Fourth Proportional to 136,077.84, 187,776.54 and 75,643.74

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Solution

The fourth proportional to 136,077.84, 187,776.54 and 75,643.74 is: 104,382.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,077.84 : 187,776.54 = 75,643.74 : x
  2. Step 2: Convert to fraction form
    136,077.84/187,776.54 = 75,643.74/x
  3. Step 3: Cross multiply
    136,077.84x = 187,776.54 × 75,643.74
  4. Step 4: Simplify right side
    136,077.84x = 14,204,119,769.86
  5. Step 5: Solve for x
    x = 14,204,119,769.86/136,077.84
  6. Step 6: Final answer
    x = 104,382.31

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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.