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Finding the Fourth Proportional to 62,641, 93,961.50 and 21,088

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Solution

The fourth proportional to 62,641, 93,961.50 and 21,088 is: 31,632

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,641 : 93,961.50 = 21,088 : x
  2. Step 2: Convert to fraction form
    62,641/93,961.50 = 21,088/x
  3. Step 3: Cross multiply
    62,641x = 93,961.50 × 21,088
  4. Step 4: Simplify right side
    62,641x = 1,981,460,112
  5. Step 5: Solve for x
    x = 1,981,460,112/62,641
  6. Step 6: Final answer
    x = 31,632

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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.