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Finding the Fourth Proportional to 77,062.88, 115,594.32 and 21,658.88

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Solution

The fourth proportional to 77,062.88, 115,594.32 and 21,658.88 is: 32,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,062.88 : 115,594.32 = 21,658.88 : x
  2. Step 2: Convert to fraction form
    77,062.88/115,594.32 = 21,658.88/x
  3. Step 3: Cross multiply
    77,062.88x = 115,594.32 × 21,658.88
  4. Step 4: Simplify right side
    77,062.88x = 2,503,642,927.59
  5. Step 5: Solve for x
    x = 2,503,642,927.59/77,062.88
  6. Step 6: Final answer
    x = 32,488.31

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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.