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Finding the Fourth Proportional to 144,782.79, 217,120.86 and 49,988.76

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Solution

The fourth proportional to 144,782.79, 217,120.86 and 49,988.76 is: 74,964.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,782.79 : 217,120.86 = 49,988.76 : x
  2. Step 2: Convert to fraction form
    144,782.79/217,120.86 = 49,988.76/x
  3. Step 3: Cross multiply
    144,782.79x = 217,120.86 × 49,988.76
  4. Step 4: Simplify right side
    144,782.79x = 10,853,602,561.53
  5. Step 5: Solve for x
    x = 10,853,602,561.53/144,782.79
  6. Step 6: Final answer
    x = 74,964.73

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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.