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Finding the Fourth Proportional to 203,280, 280,526.40 and 113,856

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Solution

The fourth proportional to 203,280, 280,526.40 and 113,856 is: 157,121.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,280 : 280,526.40 = 113,856 : x
  2. Step 2: Convert to fraction form
    203,280/280,526.40 = 113,856/x
  3. Step 3: Cross multiply
    203,280x = 280,526.40 × 113,856
  4. Step 4: Simplify right side
    203,280x = 31,939,613,798.40
  5. Step 5: Solve for x
    x = 31,939,613,798.40/203,280
  6. Step 6: Final answer
    x = 157,121.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.