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Finding the Fourth Proportional to 77,957.32, 107,581.36 and 42,147.59

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Solution

The fourth proportional to 77,957.32, 107,581.36 and 42,147.59 is: 58,163.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,957.32 : 107,581.36 = 42,147.59 : x
  2. Step 2: Convert to fraction form
    77,957.32/107,581.36 = 42,147.59/x
  3. Step 3: Cross multiply
    77,957.32x = 107,581.36 × 42,147.59
  4. Step 4: Simplify right side
    77,957.32x = 4,534,294,607.21
  5. Step 5: Solve for x
    x = 4,534,294,607.21/77,957.32
  6. Step 6: Final answer
    x = 58,163.81

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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.