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Finding the Fourth Proportional to 100,701.34, 138,928.51 and 57,657.82

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Solution

The fourth proportional to 100,701.34, 138,928.51 and 57,657.82 is: 79,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,701.34 : 138,928.51 = 57,657.82 : x
  2. Step 2: Convert to fraction form
    100,701.34/138,928.51 = 57,657.82/x
  3. Step 3: Cross multiply
    100,701.34x = 138,928.51 × 57,657.82
  4. Step 4: Simplify right side
    100,701.34x = 8,010,315,022.45
  5. Step 5: Solve for x
    x = 8,010,315,022.45/100,701.34
  6. Step 6: Final answer
    x = 79,545.27

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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.