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Finding the Fourth Proportional to 213,031.96, 319,591.65 and 86,671.87

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Solution

The fourth proportional to 213,031.96, 319,591.65 and 86,671.87 is: 130,025.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,031.96 : 319,591.65 = 86,671.87 : x
  2. Step 2: Convert to fraction form
    213,031.96/319,591.65 = 86,671.87/x
  3. Step 3: Cross multiply
    213,031.96x = 319,591.65 × 86,671.87
  4. Step 4: Simplify right side
    213,031.96x = 27,699,605,941.89
  5. Step 5: Solve for x
    x = 27,699,605,941.89/213,031.96
  6. Step 6: Final answer
    x = 130,025.59

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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.