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Finding the Fourth Proportional to 265,734.30, 398,606.13 and 78,750.30

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Solution

The fourth proportional to 265,734.30, 398,606.13 and 78,750.30 is: 118,126.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,734.30 : 398,606.13 = 78,750.30 : x
  2. Step 2: Convert to fraction form
    265,734.30/398,606.13 = 78,750.30/x
  3. Step 3: Cross multiply
    265,734.30x = 398,606.13 × 78,750.30
  4. Step 4: Simplify right side
    265,734.30x = 31,390,352,319.34
  5. Step 5: Solve for x
    x = 31,390,352,319.34/265,734.30
  6. Step 6: Final answer
    x = 118,126.84

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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.