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Finding the Fourth Proportional to 84,868, 117,117.84 and 47,145.76

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Solution

The fourth proportional to 84,868, 117,117.84 and 47,145.76 is: 65,061.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,868 : 117,117.84 = 47,145.76 : x
  2. Step 2: Convert to fraction form
    84,868/117,117.84 = 47,145.76/x
  3. Step 3: Cross multiply
    84,868x = 117,117.84 × 47,145.76
  4. Step 4: Simplify right side
    84,868x = 5,521,609,576.36
  5. Step 5: Solve for x
    x = 5,521,609,576.36/84,868
  6. Step 6: Final answer
    x = 65,061.15

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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.