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Finding the Fourth Proportional to 72,034.14, 99,411 and 40,202.76

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Solution

The fourth proportional to 72,034.14, 99,411 and 40,202.76 is: 55,481.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,034.14 : 99,411 = 40,202.76 : x
  2. Step 2: Convert to fraction form
    72,034.14/99,411 = 40,202.76/x
  3. Step 3: Cross multiply
    72,034.14x = 99,411 × 40,202.76
  4. Step 4: Simplify right side
    72,034.14x = 3,996,596,574.36
  5. Step 5: Solve for x
    x = 3,996,596,574.36/72,034.14
  6. Step 6: Final answer
    x = 55,481.98

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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.