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Finding the Fourth Proportional to 251,675, 377,570.90 and 85,463.16

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Solution

The fourth proportional to 251,675, 377,570.90 and 85,463.16 is: 128,214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,675 : 377,570.90 = 85,463.16 : x
  2. Step 2: Convert to fraction form
    251,675/377,570.90 = 85,463.16/x
  3. Step 3: Cross multiply
    251,675x = 377,570.90 × 85,463.16
  4. Step 4: Simplify right side
    251,675x = 32,268,402,238.04
  5. Step 5: Solve for x
    x = 32,268,402,238.04/251,675
  6. Step 6: Final answer
    x = 128,214.57

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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.