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Finding the Fourth Proportional to 249,959.16, 344,935.17 and 142,563.78

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Solution

The fourth proportional to 249,959.16, 344,935.17 and 142,563.78 is: 196,733.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,959.16 : 344,935.17 = 142,563.78 : x
  2. Step 2: Convert to fraction form
    249,959.16/344,935.17 = 142,563.78/x
  3. Step 3: Cross multiply
    249,959.16x = 344,935.17 × 142,563.78
  4. Step 4: Simplify right side
    249,959.16x = 49,175,261,690.14
  5. Step 5: Solve for x
    x = 49,175,261,690.14/249,959.16
  6. Step 6: Final answer
    x = 196,733.19

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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.