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Finding the Fourth Proportional to 203,264.63, 280,602.69 and 142,887.03

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Solution

The fourth proportional to 203,264.63, 280,602.69 and 142,887.03 is: 197,252.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,264.63 : 280,602.69 = 142,887.03 : x
  2. Step 2: Convert to fraction form
    203,264.63/280,602.69 = 142,887.03/x
  3. Step 3: Cross multiply
    203,264.63x = 280,602.69 × 142,887.03
  4. Step 4: Simplify right side
    203,264.63x = 40,094,483,581.10
  5. Step 5: Solve for x
    x = 40,094,483,581.10/203,264.63
  6. Step 6: Final answer
    x = 197,252.64

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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.