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Finding the Fourth Proportional to 234,181, 351,271.50 and 86,437

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Solution

The fourth proportional to 234,181, 351,271.50 and 86,437 is: 129,655.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,181 : 351,271.50 = 86,437 : x
  2. Step 2: Convert to fraction form
    234,181/351,271.50 = 86,437/x
  3. Step 3: Cross multiply
    234,181x = 351,271.50 × 86,437
  4. Step 4: Simplify right side
    234,181x = 30,362,854,645.50
  5. Step 5: Solve for x
    x = 30,362,854,645.50/234,181
  6. Step 6: Final answer
    x = 129,655.50

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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.