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Finding the Fourth Proportional to 154,057.16, 231,038.70 and 65,309

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Solution

The fourth proportional to 154,057.16, 231,038.70 and 65,309 is: 97,943.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,057.16 : 231,038.70 = 65,309 : x
  2. Step 2: Convert to fraction form
    154,057.16/231,038.70 = 65,309/x
  3. Step 3: Cross multiply
    154,057.16x = 231,038.70 × 65,309
  4. Step 4: Simplify right side
    154,057.16x = 15,088,906,458.30
  5. Step 5: Solve for x
    x = 15,088,906,458.30/154,057.16
  6. Step 6: Final answer
    x = 97,943.56

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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.