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Finding the Fourth Proportional to 77,267.80, 115,877.12 and 39,823.12

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Solution

The fourth proportional to 77,267.80, 115,877.12 and 39,823.12 is: 59,722.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,267.80 : 115,877.12 = 39,823.12 : x
  2. Step 2: Convert to fraction form
    77,267.80/115,877.12 = 39,823.12/x
  3. Step 3: Cross multiply
    77,267.80x = 115,877.12 × 39,823.12
  4. Step 4: Simplify right side
    77,267.80x = 4,614,588,455.01
  5. Step 5: Solve for x
    x = 4,614,588,455.01/77,267.80
  6. Step 6: Final answer
    x = 59,722.01

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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.