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Finding the Fourth Proportional to 74,397, 102,667.86 and 40,863

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Solution

The fourth proportional to 74,397, 102,667.86 and 40,863 is: 56,390.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,397 : 102,667.86 = 40,863 : x
  2. Step 2: Convert to fraction form
    74,397/102,667.86 = 40,863/x
  3. Step 3: Cross multiply
    74,397x = 102,667.86 × 40,863
  4. Step 4: Simplify right side
    74,397x = 4,195,316,763.18
  5. Step 5: Solve for x
    x = 4,195,316,763.18/74,397
  6. Step 6: Final answer
    x = 56,390.94

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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.