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Finding the Fourth Proportional to 74,484, 102,787.92 and 40,950

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Solution

The fourth proportional to 74,484, 102,787.92 and 40,950 is: 56,511

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,484 : 102,787.92 = 40,950 : x
  2. Step 2: Convert to fraction form
    74,484/102,787.92 = 40,950/x
  3. Step 3: Cross multiply
    74,484x = 102,787.92 × 40,950
  4. Step 4: Simplify right side
    74,484x = 4,209,165,324
  5. Step 5: Solve for x
    x = 4,209,165,324/74,484
  6. Step 6: Final answer
    x = 56,511

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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.