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Finding the Fourth Proportional to 249,201.76, 343,898.32 and 136,024.56

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Solution

The fourth proportional to 249,201.76, 343,898.32 and 136,024.56 is: 187,713.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,201.76 : 343,898.32 = 136,024.56 : x
  2. Step 2: Convert to fraction form
    249,201.76/343,898.32 = 136,024.56/x
  3. Step 3: Cross multiply
    249,201.76x = 343,898.32 × 136,024.56
  4. Step 4: Simplify right side
    249,201.76x = 46,778,617,662.74
  5. Step 5: Solve for x
    x = 46,778,617,662.74/249,201.76
  6. Step 6: Final answer
    x = 187,713.83

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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.