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Finding the Fourth Proportional to 137,874.04, 190,252.74 and 77,431

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Solution

The fourth proportional to 137,874.04, 190,252.74 and 77,431 is: 106,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,874.04 : 190,252.74 = 77,431 : x
  2. Step 2: Convert to fraction form
    137,874.04/190,252.74 = 77,431/x
  3. Step 3: Cross multiply
    137,874.04x = 190,252.74 × 77,431
  4. Step 4: Simplify right side
    137,874.04x = 14,731,459,910.94
  5. Step 5: Solve for x
    x = 14,731,459,910.94/137,874.04
  6. Step 6: Final answer
    x = 106,847.23

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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.