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Finding the Fourth Proportional to 82,415.40, 123,590.96 and 28,369.86

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Solution

The fourth proportional to 82,415.40, 123,590.96 and 28,369.86 is: 42,543.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,415.40 : 123,590.96 = 28,369.86 : x
  2. Step 2: Convert to fraction form
    82,415.40/123,590.96 = 28,369.86/x
  3. Step 3: Cross multiply
    82,415.40x = 123,590.96 × 28,369.86
  4. Step 4: Simplify right side
    82,415.40x = 3,506,258,232.47
  5. Step 5: Solve for x
    x = 3,506,258,232.47/82,415.40
  6. Step 6: Final answer
    x = 42,543.73

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1.5x scale

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.