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Finding the Fourth Proportional to 187,692.72, 281,557.40 and 54,574

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Solution

The fourth proportional to 187,692.72, 281,557.40 and 54,574 is: 81,866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,692.72 : 281,557.40 = 54,574 : x
  2. Step 2: Convert to fraction form
    187,692.72/281,557.40 = 54,574/x
  3. Step 3: Cross multiply
    187,692.72x = 281,557.40 × 54,574
  4. Step 4: Simplify right side
    187,692.72x = 15,365,713,547.60
  5. Step 5: Solve for x
    x = 15,365,713,547.60/187,692.72
  6. Step 6: Final answer
    x = 81,866.33

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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.