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Finding the Fourth Proportional to 261,838.50, 361,339.56 and 148,663.68

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Solution

The fourth proportional to 261,838.50, 361,339.56 and 148,663.68 is: 205,157.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,838.50 : 361,339.56 = 148,663.68 : x
  2. Step 2: Convert to fraction form
    261,838.50/361,339.56 = 148,663.68/x
  3. Step 3: Cross multiply
    261,838.50x = 361,339.56 × 148,663.68
  4. Step 4: Simplify right side
    261,838.50x = 53,718,068,719.18
  5. Step 5: Solve for x
    x = 53,718,068,719.18/261,838.50
  6. Step 6: Final answer
    x = 205,157.26

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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.