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Finding the Fourth Proportional to 265,781.12, 398,603.76 and 78,748.88

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Solution

The fourth proportional to 265,781.12, 398,603.76 and 78,748.88 is: 118,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,781.12 : 398,603.76 = 78,748.88 : x
  2. Step 2: Convert to fraction form
    265,781.12/398,603.76 = 78,748.88/x
  3. Step 3: Cross multiply
    265,781.12x = 398,603.76 × 78,748.88
  4. Step 4: Simplify right side
    265,781.12x = 31,389,599,663.79
  5. Step 5: Solve for x
    x = 31,389,599,663.79/265,781.12
  6. Step 6: Final answer
    x = 118,103.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.