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Finding the Fourth Proportional to 243,830.88, 365,758.56 and 77,631.84

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Solution

The fourth proportional to 243,830.88, 365,758.56 and 77,631.84 is: 116,451.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,830.88 : 365,758.56 = 77,631.84 : x
  2. Step 2: Convert to fraction form
    243,830.88/365,758.56 = 77,631.84/x
  3. Step 3: Cross multiply
    243,830.88x = 365,758.56 × 77,631.84
  4. Step 4: Simplify right side
    243,830.88x = 28,394,510,008.55
  5. Step 5: Solve for x
    x = 28,394,510,008.55/243,830.88
  6. Step 6: Final answer
    x = 116,451.66

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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.