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Finding the Fourth Proportional to 87,177, 130,784.94 and 31,773

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Solution

The fourth proportional to 87,177, 130,784.94 and 31,773 is: 47,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,177 : 130,784.94 = 31,773 : x
  2. Step 2: Convert to fraction form
    87,177/130,784.94 = 31,773/x
  3. Step 3: Cross multiply
    87,177x = 130,784.94 × 31,773
  4. Step 4: Simplify right side
    87,177x = 4,155,429,898.62
  5. Step 5: Solve for x
    x = 4,155,429,898.62/87,177
  6. Step 6: Final answer
    x = 47,666.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.