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Finding the Fourth Proportional to 213,332.59, 319,752.51 and 80,127.82

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Solution

The fourth proportional to 213,332.59, 319,752.51 and 80,127.82 is: 120,099.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,332.59 : 319,752.51 = 80,127.82 : x
  2. Step 2: Convert to fraction form
    213,332.59/319,752.51 = 80,127.82/x
  3. Step 3: Cross multiply
    213,332.59x = 319,752.51 × 80,127.82
  4. Step 4: Simplify right side
    213,332.59x = 25,621,071,565.83
  5. Step 5: Solve for x
    x = 25,621,071,565.83/213,332.59
  6. Step 6: Final answer
    x = 120,099.19

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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.