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Finding the Fourth Proportional to 265,514.16, 398,185.11 and 87,973.50

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Solution

The fourth proportional to 265,514.16, 398,185.11 and 87,973.50 is: 131,931.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,514.16 : 398,185.11 = 87,973.50 : x
  2. Step 2: Convert to fraction form
    265,514.16/398,185.11 = 87,973.50/x
  3. Step 3: Cross multiply
    265,514.16x = 398,185.11 × 87,973.50
  4. Step 4: Simplify right side
    265,514.16x = 35,029,737,774.59
  5. Step 5: Solve for x
    x = 35,029,737,774.59/265,514.16
  6. Step 6: Final answer
    x = 131,931.71

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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.