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Finding the Fourth Proportional to 114,431.40, 171,644.40 and 31,325.40

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Solution

The fourth proportional to 114,431.40, 171,644.40 and 31,325.40 is: 46,987.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,431.40 : 171,644.40 = 31,325.40 : x
  2. Step 2: Convert to fraction form
    114,431.40/171,644.40 = 31,325.40/x
  3. Step 3: Cross multiply
    114,431.40x = 171,644.40 × 31,325.40
  4. Step 4: Simplify right side
    114,431.40x = 5,376,829,487.76
  5. Step 5: Solve for x
    x = 5,376,829,487.76/114,431.40
  6. Step 6: Final answer
    x = 46,987.36

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1.5x scale

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.