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Finding the Fourth Proportional to 221,875, 332,812.50 and 74,131

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Solution

The fourth proportional to 221,875, 332,812.50 and 74,131 is: 111,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,875 : 332,812.50 = 74,131 : x
  2. Step 2: Convert to fraction form
    221,875/332,812.50 = 74,131/x
  3. Step 3: Cross multiply
    221,875x = 332,812.50 × 74,131
  4. Step 4: Simplify right side
    221,875x = 24,671,723,437.50
  5. Step 5: Solve for x
    x = 24,671,723,437.50/221,875
  6. Step 6: Final answer
    x = 111,196.50

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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.