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Finding the Fourth Proportional to 51,642.62, 71,259.96 and 28,980.74

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Solution

The fourth proportional to 51,642.62, 71,259.96 and 28,980.74 is: 39,989.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,642.62 : 71,259.96 = 28,980.74 : x
  2. Step 2: Convert to fraction form
    51,642.62/71,259.96 = 28,980.74/x
  3. Step 3: Cross multiply
    51,642.62x = 71,259.96 × 28,980.74
  4. Step 4: Simplify right side
    51,642.62x = 2,065,166,373.17
  5. Step 5: Solve for x
    x = 2,065,166,373.17/51,642.62
  6. Step 6: Final answer
    x = 39,989.57

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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.