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Finding the Fourth Proportional to 207,534.10, 311,301.15 and 102,558.10

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Solution

The fourth proportional to 207,534.10, 311,301.15 and 102,558.10 is: 153,837.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,534.10 : 311,301.15 = 102,558.10 : x
  2. Step 2: Convert to fraction form
    207,534.10/311,301.15 = 102,558.10/x
  3. Step 3: Cross multiply
    207,534.10x = 311,301.15 × 102,558.10
  4. Step 4: Simplify right side
    207,534.10x = 31,926,454,471.82
  5. Step 5: Solve for x
    x = 31,926,454,471.82/207,534.10
  6. Step 6: Final answer
    x = 153,837.15

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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.