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Finding the Fourth Proportional to 119,369.78, 164,675.08 and 71,540.10

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Solution

The fourth proportional to 119,369.78, 164,675.08 and 71,540.10 is: 98,692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,369.78 : 164,675.08 = 71,540.10 : x
  2. Step 2: Convert to fraction form
    119,369.78/164,675.08 = 71,540.10/x
  3. Step 3: Cross multiply
    119,369.78x = 164,675.08 × 71,540.10
  4. Step 4: Simplify right side
    119,369.78x = 11,780,871,690.71
  5. Step 5: Solve for x
    x = 11,780,871,690.71/119,369.78
  6. Step 6: Final answer
    x = 98,692.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.