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Finding the Fourth Proportional to 272,980.07, 409,471.12 and 83,439.69

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Solution

The fourth proportional to 272,980.07, 409,471.12 and 83,439.69 is: 125,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,980.07 : 409,471.12 = 83,439.69 : x
  2. Step 2: Convert to fraction form
    272,980.07/409,471.12 = 83,439.69/x
  3. Step 3: Cross multiply
    272,980.07x = 409,471.12 × 83,439.69
  4. Step 4: Simplify right side
    272,980.07x = 34,166,145,575.12
  5. Step 5: Solve for x
    x = 34,166,145,575.12/272,980.07
  6. Step 6: Final answer
    x = 125,159.85

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1.5x scale

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.