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Finding the Fourth Proportional to 135,114.61, 186,476.69 and 77,752.76

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Solution

The fourth proportional to 135,114.61, 186,476.69 and 77,752.76 is: 107,309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,114.61 : 186,476.69 = 77,752.76 : x
  2. Step 2: Convert to fraction form
    135,114.61/186,476.69 = 77,752.76/x
  3. Step 3: Cross multiply
    135,114.61x = 186,476.69 × 77,752.76
  4. Step 4: Simplify right side
    135,114.61x = 14,499,076,856.97
  5. Step 5: Solve for x
    x = 14,499,076,856.97/135,114.61
  6. Step 6: Final answer
    x = 107,309.47

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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.