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Finding the Fourth Proportional to 84,758.40, 117,010.10 and 59,719.68

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Solution

The fourth proportional to 84,758.40, 117,010.10 and 59,719.68 is: 82,443.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,758.40 : 117,010.10 = 59,719.68 : x
  2. Step 2: Convert to fraction form
    84,758.40/117,010.10 = 59,719.68/x
  3. Step 3: Cross multiply
    84,758.40x = 117,010.10 × 59,719.68
  4. Step 4: Simplify right side
    84,758.40x = 6,987,805,728.77
  5. Step 5: Solve for x
    x = 6,987,805,728.77/84,758.40
  6. Step 6: Final answer
    x = 82,443.81

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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.