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Finding the Fourth Proportional to 249,172.74, 343,847.70 and 147,231

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Solution

The fourth proportional to 249,172.74, 343,847.70 and 147,231 is: 203,172.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,172.74 : 343,847.70 = 147,231 : x
  2. Step 2: Convert to fraction form
    249,172.74/343,847.70 = 147,231/x
  3. Step 3: Cross multiply
    249,172.74x = 343,847.70 × 147,231
  4. Step 4: Simplify right side
    249,172.74x = 50,625,040,718.70
  5. Step 5: Solve for x
    x = 50,625,040,718.70/249,172.74
  6. Step 6: Final answer
    x = 203,172.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.