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Finding the Fourth Proportional to 77,157.78, 106,473.42 and 43,159.70

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Solution

The fourth proportional to 77,157.78, 106,473.42 and 43,159.70 is: 59,557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,157.78 : 106,473.42 = 43,159.70 : x
  2. Step 2: Convert to fraction form
    77,157.78/106,473.42 = 43,159.70/x
  3. Step 3: Cross multiply
    77,157.78x = 106,473.42 × 43,159.70
  4. Step 4: Simplify right side
    77,157.78x = 4,595,360,532.44
  5. Step 5: Solve for x
    x = 4,595,360,532.44/77,157.78
  6. Step 6: Final answer
    x = 59,557.97

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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.