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Finding the Fourth Proportional to 61,338.72, 92,017.80 and 19,776

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Solution

The fourth proportional to 61,338.72, 92,017.80 and 19,776 is: 29,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,338.72 : 92,017.80 = 19,776 : x
  2. Step 2: Convert to fraction form
    61,338.72/92,017.80 = 19,776/x
  3. Step 3: Cross multiply
    61,338.72x = 92,017.80 × 19,776
  4. Step 4: Simplify right side
    61,338.72x = 1,819,744,012.80
  5. Step 5: Solve for x
    x = 1,819,744,012.80/61,338.72
  6. Step 6: Final answer
    x = 29,667.13

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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.