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Finding the Fourth Proportional to 261,856.40, 361,358.55 and 148,671.86

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Solution

The fourth proportional to 261,856.40, 361,358.55 and 148,671.86 is: 205,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,856.40 : 361,358.55 = 148,671.86 : x
  2. Step 2: Convert to fraction form
    261,856.40/361,358.55 = 148,671.86/x
  3. Step 3: Cross multiply
    261,856.40x = 361,358.55 × 148,671.86
  4. Step 4: Simplify right side
    261,856.40x = 53,723,845,948.61
  5. Step 5: Solve for x
    x = 53,723,845,948.61/261,856.40
  6. Step 6: Final answer
    x = 205,165.30

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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.