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Finding the Fourth Proportional to 82,421.55, 123,905.70 and 71,595.90

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Solution

The fourth proportional to 82,421.55, 123,905.70 and 71,595.90 is: 107,631.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,421.55 : 123,905.70 = 71,595.90 : x
  2. Step 2: Convert to fraction form
    82,421.55/123,905.70 = 71,595.90/x
  3. Step 3: Cross multiply
    82,421.55x = 123,905.70 × 71,595.90
  4. Step 4: Simplify right side
    82,421.55x = 8,871,140,106.63
  5. Step 5: Solve for x
    x = 8,871,140,106.63/82,421.55
  6. Step 6: Final answer
    x = 107,631.32

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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.