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Finding the Fourth Proportional to 272,669.52, 409,065.72 and 83,146.64

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Solution

The fourth proportional to 272,669.52, 409,065.72 and 83,146.64 is: 124,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,669.52 : 409,065.72 = 83,146.64 : x
  2. Step 2: Convert to fraction form
    272,669.52/409,065.72 = 83,146.64/x
  3. Step 3: Cross multiply
    272,669.52x = 409,065.72 × 83,146.64
  4. Step 4: Simplify right side
    272,669.52x = 34,012,440,157.18
  5. Step 5: Solve for x
    x = 34,012,440,157.18/272,669.52
  6. Step 6: Final answer
    x = 124,738.70

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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.