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Finding the Fourth Proportional to 72,400.48, 99,911.68 and 40,570

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Solution

The fourth proportional to 72,400.48, 99,911.68 and 40,570 is: 55,986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,400.48 : 99,911.68 = 40,570 : x
  2. Step 2: Convert to fraction form
    72,400.48/99,911.68 = 40,570/x
  3. Step 3: Cross multiply
    72,400.48x = 99,911.68 × 40,570
  4. Step 4: Simplify right side
    72,400.48x = 4,053,416,857.60
  5. Step 5: Solve for x
    x = 4,053,416,857.60/72,400.48
  6. Step 6: Final answer
    x = 55,986.05

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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.