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Finding the Fourth Proportional to 83,765.49, 115,557.03 and 49,775.01

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Solution

The fourth proportional to 83,765.49, 115,557.03 and 49,775.01 is: 68,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,765.49 : 115,557.03 = 49,775.01 : x
  2. Step 2: Convert to fraction form
    83,765.49/115,557.03 = 49,775.01/x
  3. Step 3: Cross multiply
    83,765.49x = 115,557.03 × 49,775.01
  4. Step 4: Simplify right side
    83,765.49x = 5,751,852,323.82
  5. Step 5: Solve for x
    x = 5,751,852,323.82/83,765.49
  6. Step 6: Final answer
    x = 68,666.13

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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.