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Finding the Fourth Proportional to 61,253.16, 91,821.42 and 19,671

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Solution

The fourth proportional to 61,253.16, 91,821.42 and 19,671 is: 29,487.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,253.16 : 91,821.42 = 19,671 : x
  2. Step 2: Convert to fraction form
    61,253.16/91,821.42 = 19,671/x
  3. Step 3: Cross multiply
    61,253.16x = 91,821.42 × 19,671
  4. Step 4: Simplify right side
    61,253.16x = 1,806,219,152.82
  5. Step 5: Solve for x
    x = 1,806,219,152.82/61,253.16
  6. Step 6: Final answer
    x = 29,487.77

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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.