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Finding the Fourth Proportional to 265,728.78, 398,594.61 and 78,741.90

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Solution

The fourth proportional to 265,728.78, 398,594.61 and 78,741.90 is: 118,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,728.78 : 398,594.61 = 78,741.90 : x
  2. Step 2: Convert to fraction form
    265,728.78/398,594.61 = 78,741.90/x
  3. Step 3: Cross multiply
    265,728.78x = 398,594.61 × 78,741.90
  4. Step 4: Simplify right side
    265,728.78x = 31,386,096,921.16
  5. Step 5: Solve for x
    x = 31,386,096,921.16/265,728.78
  6. Step 6: Final answer
    x = 118,113.28

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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.