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Finding the Fourth Proportional to 83,365.99, 115,002.02 and 56,499.31

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Solution

The fourth proportional to 83,365.99, 115,002.02 and 56,499.31 is: 77,939.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,365.99 : 115,002.02 = 56,499.31 : x
  2. Step 2: Convert to fraction form
    83,365.99/115,002.02 = 56,499.31/x
  3. Step 3: Cross multiply
    83,365.99x = 115,002.02 × 56,499.31
  4. Step 4: Simplify right side
    83,365.99x = 6,497,534,496.11
  5. Step 5: Solve for x
    x = 6,497,534,496.11/83,365.99
  6. Step 6: Final answer
    x = 77,939.87

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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.