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Finding the Fourth Proportional to 56,874.71, 85,312.05 and 30,543.23

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Solution

The fourth proportional to 56,874.71, 85,312.05 and 30,543.23 is: 45,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,874.71 : 85,312.05 = 30,543.23 : x
  2. Step 2: Convert to fraction form
    56,874.71/85,312.05 = 30,543.23/x
  3. Step 3: Cross multiply
    56,874.71x = 85,312.05 × 30,543.23
  4. Step 4: Simplify right side
    56,874.71x = 2,605,705,564.92
  5. Step 5: Solve for x
    x = 2,605,705,564.92/56,874.71
  6. Step 6: Final answer
    x = 45,814.84

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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.