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Finding the Fourth Proportional to 52,851.74, 72,935.34 and 28,978.80

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Solution

The fourth proportional to 52,851.74, 72,935.34 and 28,978.80 is: 39,990.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,851.74 : 72,935.34 = 28,978.80 : x
  2. Step 2: Convert to fraction form
    52,851.74/72,935.34 = 28,978.80/x
  3. Step 3: Cross multiply
    52,851.74x = 72,935.34 × 28,978.80
  4. Step 4: Simplify right side
    52,851.74x = 2,113,578,630.79
  5. Step 5: Solve for x
    x = 2,113,578,630.79/52,851.74
  6. Step 6: Final answer
    x = 39,990.71

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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.