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Finding the Fourth Proportional to 77,197.52, 115,780.05 and 21,780.56

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Solution

The fourth proportional to 77,197.52, 115,780.05 and 21,780.56 is: 32,666.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,197.52 : 115,780.05 = 21,780.56 : x
  2. Step 2: Convert to fraction form
    77,197.52/115,780.05 = 21,780.56/x
  3. Step 3: Cross multiply
    77,197.52x = 115,780.05 × 21,780.56
  4. Step 4: Simplify right side
    77,197.52x = 2,521,754,615.28
  5. Step 5: Solve for x
    x = 2,521,754,615.28/77,197.52
  6. Step 6: Final answer
    x = 32,666.26

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1.5x scale

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.