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Finding the Fourth Proportional to 203,225.92, 280,456.40 and 118,312

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Solution

The fourth proportional to 203,225.92, 280,456.40 and 118,312 is: 163,273.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,225.92 : 280,456.40 = 118,312 : x
  2. Step 2: Convert to fraction form
    203,225.92/280,456.40 = 118,312/x
  3. Step 3: Cross multiply
    203,225.92x = 280,456.40 × 118,312
  4. Step 4: Simplify right side
    203,225.92x = 33,181,357,596.80
  5. Step 5: Solve for x
    x = 33,181,357,596.80/203,225.92
  6. Step 6: Final answer
    x = 163,273.26

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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.