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Finding the Fourth Proportional to 223,047.24, 307,702.52 and 142,434.42

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Solution

The fourth proportional to 223,047.24, 307,702.52 and 142,434.42 is: 196,493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,047.24 : 307,702.52 = 142,434.42 : x
  2. Step 2: Convert to fraction form
    223,047.24/307,702.52 = 142,434.42/x
  3. Step 3: Cross multiply
    223,047.24x = 307,702.52 × 142,434.42
  4. Step 4: Simplify right side
    223,047.24x = 43,827,429,968.74
  5. Step 5: Solve for x
    x = 43,827,429,968.74/223,047.24
  6. Step 6: Final answer
    x = 196,493.94

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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.