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Finding the Fourth Proportional to 114,428.40, 171,639.90 and 31,322.40

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Solution

The fourth proportional to 114,428.40, 171,639.90 and 31,322.40 is: 46,982.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,428.40 : 171,639.90 = 31,322.40 : x
  2. Step 2: Convert to fraction form
    114,428.40/171,639.90 = 31,322.40/x
  3. Step 3: Cross multiply
    114,428.40x = 171,639.90 × 31,322.40
  4. Step 4: Simplify right side
    114,428.40x = 5,376,173,603.76
  5. Step 5: Solve for x
    x = 5,376,173,603.76/114,428.40
  6. Step 6: Final answer
    x = 46,982.86

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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.