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Finding the Fourth Proportional to 243,902.88, 365,866.56 and 77,703.84

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Solution

The fourth proportional to 243,902.88, 365,866.56 and 77,703.84 is: 116,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,902.88 : 365,866.56 = 77,703.84 : x
  2. Step 2: Convert to fraction form
    243,902.88/365,866.56 = 77,703.84/x
  3. Step 3: Cross multiply
    243,902.88x = 365,866.56 × 77,703.84
  4. Step 4: Simplify right side
    243,902.88x = 28,429,236,639.59
  5. Step 5: Solve for x
    x = 28,429,236,639.59/243,902.88
  6. Step 6: Final answer
    x = 116,559.66

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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.