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Finding the Fourth Proportional to 77,149.97, 106,476.80 and 43,160.34

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Solution

The fourth proportional to 77,149.97, 106,476.80 and 43,160.34 is: 59,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,149.97 : 106,476.80 = 43,160.34 : x
  2. Step 2: Convert to fraction form
    77,149.97/106,476.80 = 43,160.34/x
  3. Step 3: Cross multiply
    77,149.97x = 106,476.80 × 43,160.34
  4. Step 4: Simplify right side
    77,149.97x = 4,595,574,674.31
  5. Step 5: Solve for x
    x = 4,595,574,674.31/77,149.97
  6. Step 6: Final answer
    x = 59,566.78

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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.