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Finding the Fourth Proportional to 201,507.72, 278,082.98 and 115,465

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Solution

The fourth proportional to 201,507.72, 278,082.98 and 115,465 is: 159,343.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,507.72 : 278,082.98 = 115,465 : x
  2. Step 2: Convert to fraction form
    201,507.72/278,082.98 = 115,465/x
  3. Step 3: Cross multiply
    201,507.72x = 278,082.98 × 115,465
  4. Step 4: Simplify right side
    201,507.72x = 32,108,851,285.70
  5. Step 5: Solve for x
    x = 32,108,851,285.70/201,507.72
  6. Step 6: Final answer
    x = 159,343.03

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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.