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Finding the Fourth Proportional to 207,398.98, 311,098.67 and 57,639.30

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Solution

The fourth proportional to 207,398.98, 311,098.67 and 57,639.30 is: 86,459.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,398.98 : 311,098.67 = 57,639.30 : x
  2. Step 2: Convert to fraction form
    207,398.98/311,098.67 = 57,639.30/x
  3. Step 3: Cross multiply
    207,398.98x = 311,098.67 × 57,639.30
  4. Step 4: Simplify right side
    207,398.98x = 17,931,508,655.28
  5. Step 5: Solve for x
    x = 17,931,508,655.28/207,398.98
  6. Step 6: Final answer
    x = 86,459.00

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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.