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Finding the Fourth Proportional to 74,439, 102,725.82 and 40,905

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Solution

The fourth proportional to 74,439, 102,725.82 and 40,905 is: 56,448.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,439 : 102,725.82 = 40,905 : x
  2. Step 2: Convert to fraction form
    74,439/102,725.82 = 40,905/x
  3. Step 3: Cross multiply
    74,439x = 102,725.82 × 40,905
  4. Step 4: Simplify right side
    74,439x = 4,201,999,667.10
  5. Step 5: Solve for x
    x = 4,201,999,667.10/74,439
  6. Step 6: Final answer
    x = 56,448.90

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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.