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Finding the Fourth Proportional to 39,778, 59,667.36 and 12,076

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Solution

The fourth proportional to 39,778, 59,667.36 and 12,076 is: 18,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,778 : 59,667.36 = 12,076 : x
  2. Step 2: Convert to fraction form
    39,778/59,667.36 = 12,076/x
  3. Step 3: Cross multiply
    39,778x = 59,667.36 × 12,076
  4. Step 4: Simplify right side
    39,778x = 720,543,039.36
  5. Step 5: Solve for x
    x = 720,543,039.36/39,778
  6. Step 6: Final answer
    x = 18,114.11

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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.