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Finding the Fourth Proportional to 210,178.92, 315,265.04 and 97,796.28

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Solution

The fourth proportional to 210,178.92, 315,265.04 and 97,796.28 is: 146,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,178.92 : 315,265.04 = 97,796.28 : x
  2. Step 2: Convert to fraction form
    210,178.92/315,265.04 = 97,796.28/x
  3. Step 3: Cross multiply
    210,178.92x = 315,265.04 × 97,796.28
  4. Step 4: Simplify right side
    210,178.92x = 30,831,747,637.07
  5. Step 5: Solve for x
    x = 30,831,747,637.07/210,178.92
  6. Step 6: Final answer
    x = 146,692.86

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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.