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Finding the Fourth Proportional to 106,572.80, 149,478.40 and 106,572.80

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Solution

The fourth proportional to 106,572.80, 149,478.40 and 106,572.80 is: 149,478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,572.80 : 149,478.40 = 106,572.80 : x
  2. Step 2: Convert to fraction form
    106,572.80/149,478.40 = 106,572.80/x
  3. Step 3: Cross multiply
    106,572.80x = 149,478.40 × 106,572.80
  4. Step 4: Simplify right side
    106,572.80x = 15,930,331,627.52
  5. Step 5: Solve for x
    x = 15,930,331,627.52/106,572.80
  6. Step 6: Final answer
    x = 149,478.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.