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Finding the Fourth Proportional to 84,681.80, 126,985.80 and 28,506.84

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Solution

The fourth proportional to 84,681.80, 126,985.80 and 28,506.84 is: 42,747.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,681.80 : 126,985.80 = 28,506.84 : x
  2. Step 2: Convert to fraction form
    84,681.80/126,985.80 = 28,506.84/x
  3. Step 3: Cross multiply
    84,681.80x = 126,985.80 × 28,506.84
  4. Step 4: Simplify right side
    84,681.80x = 3,619,963,433.40
  5. Step 5: Solve for x
    x = 3,619,963,433.40/84,681.80
  6. Step 6: Final answer
    x = 42,747.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.