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Finding the Fourth Proportional to 120,427.50, 180,641.25 and 32,875.50

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Solution

The fourth proportional to 120,427.50, 180,641.25 and 32,875.50 is: 49,313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,427.50 : 180,641.25 = 32,875.50 : x
  2. Step 2: Convert to fraction form
    120,427.50/180,641.25 = 32,875.50/x
  3. Step 3: Cross multiply
    120,427.50x = 180,641.25 × 32,875.50
  4. Step 4: Simplify right side
    120,427.50x = 5,938,671,414.38
  5. Step 5: Solve for x
    x = 5,938,671,414.38/120,427.50
  6. Step 6: Final answer
    x = 49,313.25

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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.