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Finding the Fourth Proportional to 265,345.16, 398,031.42 and 75,790.58

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Solution

The fourth proportional to 265,345.16, 398,031.42 and 75,790.58 is: 113,689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,345.16 : 398,031.42 = 75,790.58 : x
  2. Step 2: Convert to fraction form
    265,345.16/398,031.42 = 75,790.58/x
  3. Step 3: Cross multiply
    265,345.16x = 398,031.42 × 75,790.58
  4. Step 4: Simplify right side
    265,345.16x = 30,167,032,180.02
  5. Step 5: Solve for x
    x = 30,167,032,180.02/265,345.16
  6. Step 6: Final answer
    x = 113,689.78

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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.