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Finding the Fourth Proportional to 133,480.72, 200,270.30 and 70,298.28

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Solution

The fourth proportional to 133,480.72, 200,270.30 and 70,298.28 is: 105,473.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,480.72 : 200,270.30 = 70,298.28 : x
  2. Step 2: Convert to fraction form
    133,480.72/200,270.30 = 70,298.28/x
  3. Step 3: Cross multiply
    133,480.72x = 200,270.30 × 70,298.28
  4. Step 4: Simplify right side
    133,480.72x = 14,078,657,625.08
  5. Step 5: Solve for x
    x = 14,078,657,625.08/133,480.72
  6. Step 6: Final answer
    x = 105,473.34

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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.