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Finding the Fourth Proportional to 235,579.88, 353,294.94 and 77,778.92

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Solution

The fourth proportional to 235,579.88, 353,294.94 and 77,778.92 is: 116,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,579.88 : 353,294.94 = 77,778.92 : x
  2. Step 2: Convert to fraction form
    235,579.88/353,294.94 = 77,778.92/x
  3. Step 3: Cross multiply
    235,579.88x = 353,294.94 × 77,778.92
  4. Step 4: Simplify right side
    235,579.88x = 27,478,898,874.66
  5. Step 5: Solve for x
    x = 27,478,898,874.66/235,579.88
  6. Step 6: Final answer
    x = 116,643.66

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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.