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Finding the Fourth Proportional to 77,141.68, 106,455.72 and 43,150.75

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Solution

The fourth proportional to 77,141.68, 106,455.72 and 43,150.75 is: 59,548.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,141.68 : 106,455.72 = 43,150.75 : x
  2. Step 2: Convert to fraction form
    77,141.68/106,455.72 = 43,150.75/x
  3. Step 3: Cross multiply
    77,141.68x = 106,455.72 × 43,150.75
  4. Step 4: Simplify right side
    77,141.68x = 4,593,644,159.79
  5. Step 5: Solve for x
    x = 4,593,644,159.79/77,141.68
  6. Step 6: Final answer
    x = 59,548.15

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1.5x scale

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.