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Finding the Fourth Proportional to 134,642.88, 185,808.06 and 77,266.90

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Solution

The fourth proportional to 134,642.88, 185,808.06 and 77,266.90 is: 106,628.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,642.88 : 185,808.06 = 77,266.90 : x
  2. Step 2: Convert to fraction form
    134,642.88/185,808.06 = 77,266.90/x
  3. Step 3: Cross multiply
    134,642.88x = 185,808.06 × 77,266.90
  4. Step 4: Simplify right side
    134,642.88x = 14,356,812,791.21
  5. Step 5: Solve for x
    x = 14,356,812,791.21/134,642.88
  6. Step 6: Final answer
    x = 106,628.83

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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.