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Finding the Fourth Proportional to 57,064.59, 78,747.66 and 31,570.29

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Solution

The fourth proportional to 57,064.59, 78,747.66 and 31,570.29 is: 43,566.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,064.59 : 78,747.66 = 31,570.29 : x
  2. Step 2: Convert to fraction form
    57,064.59/78,747.66 = 31,570.29/x
  3. Step 3: Cross multiply
    57,064.59x = 78,747.66 × 31,570.29
  4. Step 4: Simplify right side
    57,064.59x = 2,486,086,463.02
  5. Step 5: Solve for x
    x = 2,486,086,463.02/57,064.59
  6. Step 6: Final answer
    x = 43,566.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.