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Finding the Fourth Proportional to 143,703.72, 198,316.08 and 83,274.48

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Solution

The fourth proportional to 143,703.72, 198,316.08 and 83,274.48 is: 114,921.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,703.72 : 198,316.08 = 83,274.48 : x
  2. Step 2: Convert to fraction form
    143,703.72/198,316.08 = 83,274.48/x
  3. Step 3: Cross multiply
    143,703.72x = 198,316.08 × 83,274.48
  4. Step 4: Simplify right side
    143,703.72x = 16,514,668,437.64
  5. Step 5: Solve for x
    x = 16,514,668,437.64/143,703.72
  6. Step 6: Final answer
    x = 114,921.65

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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.