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Finding the Fourth Proportional to 73,500, 101,430 and 39,966.24

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Solution

The fourth proportional to 73,500, 101,430 and 39,966.24 is: 55,153.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,500 : 101,430 = 39,966.24 : x
  2. Step 2: Convert to fraction form
    73,500/101,430 = 39,966.24/x
  3. Step 3: Cross multiply
    73,500x = 101,430 × 39,966.24
  4. Step 4: Simplify right side
    73,500x = 4,053,775,723.20
  5. Step 5: Solve for x
    x = 4,053,775,723.20/73,500
  6. Step 6: Final answer
    x = 55,153.41

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1.5x scale

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.