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Finding the Fourth Proportional to 77,957.16, 107,580.89 and 42,147.16

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Solution

The fourth proportional to 77,957.16, 107,580.89 and 42,147.16 is: 58,163.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,957.16 : 107,580.89 = 42,147.16 : x
  2. Step 2: Convert to fraction form
    77,957.16/107,580.89 = 42,147.16/x
  3. Step 3: Cross multiply
    77,957.16x = 107,580.89 × 42,147.16
  4. Step 4: Simplify right side
    77,957.16x = 4,534,228,983.77
  5. Step 5: Solve for x
    x = 4,534,228,983.77/77,957.16
  6. Step 6: Final answer
    x = 58,163.09

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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.