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Finding the Fourth Proportional to 195,728.40, 293,603.76 and 55,476

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Solution

The fourth proportional to 195,728.40, 293,603.76 and 55,476 is: 83,217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,728.40 : 293,603.76 = 55,476 : x
  2. Step 2: Convert to fraction form
    195,728.40/293,603.76 = 55,476/x
  3. Step 3: Cross multiply
    195,728.40x = 293,603.76 × 55,476
  4. Step 4: Simplify right side
    195,728.40x = 16,287,962,189.76
  5. Step 5: Solve for x
    x = 16,287,962,189.76/195,728.40
  6. Step 6: Final answer
    x = 83,217.16

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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.