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Finding the Fourth Proportional to 203,497.40, 280,769.55 and 118,598.06

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Solution

The fourth proportional to 203,497.40, 280,769.55 and 118,598.06 is: 163,632.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,497.40 : 280,769.55 = 118,598.06 : x
  2. Step 2: Convert to fraction form
    203,497.40/280,769.55 = 118,598.06/x
  3. Step 3: Cross multiply
    203,497.40x = 280,769.55 × 118,598.06
  4. Step 4: Simplify right side
    203,497.40x = 33,298,723,937.07
  5. Step 5: Solve for x
    x = 33,298,723,937.07/203,497.40
  6. Step 6: Final answer
    x = 163,632.18

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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.