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Finding the Fourth Proportional to 144,713.80, 217,070.70 and 51,207.40

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Solution

The fourth proportional to 144,713.80, 217,070.70 and 51,207.40 is: 76,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,713.80 : 217,070.70 = 51,207.40 : x
  2. Step 2: Convert to fraction form
    144,713.80/217,070.70 = 51,207.40/x
  3. Step 3: Cross multiply
    144,713.80x = 217,070.70 × 51,207.40
  4. Step 4: Simplify right side
    144,713.80x = 11,115,626,163.18
  5. Step 5: Solve for x
    x = 11,115,626,163.18/144,713.80
  6. Step 6: Final answer
    x = 76,811.10

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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.