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Finding the Fourth Proportional to 83,487.67, 115,224.79 and 51,666.82

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Solution

The fourth proportional to 83,487.67, 115,224.79 and 51,666.82 is: 71,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,487.67 : 115,224.79 = 51,666.82 : x
  2. Step 2: Convert to fraction form
    83,487.67/115,224.79 = 51,666.82/x
  3. Step 3: Cross multiply
    83,487.67x = 115,224.79 × 51,666.82
  4. Step 4: Simplify right side
    83,487.67x = 5,953,297,908.34
  5. Step 5: Solve for x
    x = 5,953,297,908.34/83,487.67
  6. Step 6: Final answer
    x = 71,307.51

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1.5x scale

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.