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Finding the Fourth Proportional to 307,635.50, 461,531.28 and 86,019.50

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Solution

The fourth proportional to 307,635.50, 461,531.28 and 86,019.50 is: 129,051.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,635.50 : 461,531.28 = 86,019.50 : x
  2. Step 2: Convert to fraction form
    307,635.50/461,531.28 = 86,019.50/x
  3. Step 3: Cross multiply
    307,635.50x = 461,531.28 × 86,019.50
  4. Step 4: Simplify right side
    307,635.50x = 39,700,689,939.96
  5. Step 5: Solve for x
    x = 39,700,689,939.96/307,635.50
  6. Step 6: Final answer
    x = 129,051.07

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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.