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Finding the Fourth Proportional to 51,407.80, 77,054.10 and 26,438.20

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Solution

The fourth proportional to 51,407.80, 77,054.10 and 26,438.20 is: 39,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,407.80 : 77,054.10 = 26,438.20 : x
  2. Step 2: Convert to fraction form
    51,407.80/77,054.10 = 26,438.20/x
  3. Step 3: Cross multiply
    51,407.80x = 77,054.10 × 26,438.20
  4. Step 4: Simplify right side
    51,407.80x = 2,037,171,706.62
  5. Step 5: Solve for x
    x = 2,037,171,706.62/51,407.80
  6. Step 6: Final answer
    x = 39,627.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.