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Finding the Fourth Proportional to 57,052.69, 78,726.65 and 31,555

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Solution

The fourth proportional to 57,052.69, 78,726.65 and 31,555 is: 43,542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,052.69 : 78,726.65 = 31,555 : x
  2. Step 2: Convert to fraction form
    57,052.69/78,726.65 = 31,555/x
  3. Step 3: Cross multiply
    57,052.69x = 78,726.65 × 31,555
  4. Step 4: Simplify right side
    57,052.69x = 2,484,219,282.98
  5. Step 5: Solve for x
    x = 2,484,219,282.98/57,052.69
  6. Step 6: Final answer
    x = 43,542.55

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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.