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Finding the Fourth Proportional to 52,080, 71,870.68 and 28,206.74

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Solution

The fourth proportional to 52,080, 71,870.68 and 28,206.74 is: 38,925.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,080 : 71,870.68 = 28,206.74 : x
  2. Step 2: Convert to fraction form
    52,080/71,870.68 = 28,206.74/x
  3. Step 3: Cross multiply
    52,080x = 71,870.68 × 28,206.74
  4. Step 4: Simplify right side
    52,080x = 2,027,237,584.38
  5. Step 5: Solve for x
    x = 2,027,237,584.38/52,080
  6. Step 6: Final answer
    x = 38,925.45

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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.