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Finding the Fourth Proportional to 249,801.74, 344,717.87 and 142,406.39

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Solution

The fourth proportional to 249,801.74, 344,717.87 and 142,406.39 is: 196,515.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,801.74 : 344,717.87 = 142,406.39 : x
  2. Step 2: Convert to fraction form
    249,801.74/344,717.87 = 142,406.39/x
  3. Step 3: Cross multiply
    249,801.74x = 344,717.87 × 142,406.39
  4. Step 4: Simplify right side
    249,801.74x = 49,090,024,999.57
  5. Step 5: Solve for x
    x = 49,090,024,999.57/249,801.74
  6. Step 6: Final answer
    x = 196,515.95

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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.