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Finding the Fourth Proportional to 265,518.85, 398,192.14 and 87,978.19

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Solution

The fourth proportional to 265,518.85, 398,192.14 and 87,978.19 is: 131,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,518.85 : 398,192.14 = 87,978.19 : x
  2. Step 2: Convert to fraction form
    265,518.85/398,192.14 = 87,978.19/x
  3. Step 3: Cross multiply
    265,518.85x = 398,192.14 × 87,978.19
  4. Step 4: Simplify right side
    265,518.85x = 35,032,223,749.43
  5. Step 5: Solve for x
    x = 35,032,223,749.43/265,518.85
  6. Step 6: Final answer
    x = 131,938.74

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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.