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Finding the Fourth Proportional to 85,543.60, 128,315.40 and 23,214.10

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Solution

The fourth proportional to 85,543.60, 128,315.40 and 23,214.10 is: 34,821.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,543.60 : 128,315.40 = 23,214.10 : x
  2. Step 2: Convert to fraction form
    85,543.60/128,315.40 = 23,214.10/x
  3. Step 3: Cross multiply
    85,543.60x = 128,315.40 × 23,214.10
  4. Step 4: Simplify right side
    85,543.60x = 2,978,726,527.14
  5. Step 5: Solve for x
    x = 2,978,726,527.14/85,543.60
  6. Step 6: Final answer
    x = 34,821.15

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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.