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Finding the Fourth Proportional to 190,436.94, 285,656.42 and 57,316.28

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Solution

The fourth proportional to 190,436.94, 285,656.42 and 57,316.28 is: 85,974.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,436.94 : 285,656.42 = 57,316.28 : x
  2. Step 2: Convert to fraction form
    190,436.94/285,656.42 = 57,316.28/x
  3. Step 3: Cross multiply
    190,436.94x = 285,656.42 × 57,316.28
  4. Step 4: Simplify right side
    190,436.94x = 16,372,762,067.53
  5. Step 5: Solve for x
    x = 16,372,762,067.53/190,436.94
  6. Step 6: Final answer
    x = 85,974.72

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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.