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Finding the Fourth Proportional to 56,705.68, 85,089.84 and 23,418

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Solution

The fourth proportional to 56,705.68, 85,089.84 and 23,418 is: 35,139.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,705.68 : 85,089.84 = 23,418 : x
  2. Step 2: Convert to fraction form
    56,705.68/85,089.84 = 23,418/x
  3. Step 3: Cross multiply
    56,705.68x = 85,089.84 × 23,418
  4. Step 4: Simplify right side
    56,705.68x = 1,992,633,873.12
  5. Step 5: Solve for x
    x = 1,992,633,873.12/56,705.68
  6. Step 6: Final answer
    x = 35,139.93

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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.