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Finding the Fourth Proportional to 84,459, 126,688.50 and 31,856.19

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Solution

The fourth proportional to 84,459, 126,688.50 and 31,856.19 is: 47,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,459 : 126,688.50 = 31,856.19 : x
  2. Step 2: Convert to fraction form
    84,459/126,688.50 = 31,856.19/x
  3. Step 3: Cross multiply
    84,459x = 126,688.50 × 31,856.19
  4. Step 4: Simplify right side
    84,459x = 4,035,812,926.82
  5. Step 5: Solve for x
    x = 4,035,812,926.82/84,459
  6. Step 6: Final answer
    x = 47,784.29

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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.