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Finding the Fourth Proportional to 89,689.50, 123,771.51 and 51,985.62

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Solution

The fourth proportional to 89,689.50, 123,771.51 and 51,985.62 is: 71,740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,689.50 : 123,771.51 = 51,985.62 : x
  2. Step 2: Convert to fraction form
    89,689.50/123,771.51 = 51,985.62/x
  3. Step 3: Cross multiply
    89,689.50x = 123,771.51 × 51,985.62
  4. Step 4: Simplify right side
    89,689.50x = 6,434,338,685.69
  5. Step 5: Solve for x
    x = 6,434,338,685.69/89,689.50
  6. Step 6: Final answer
    x = 71,740.16

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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.