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Finding the Fourth Proportional to 202,956.51, 280,073.10 and 112,316.30

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Solution

The fourth proportional to 202,956.51, 280,073.10 and 112,316.30 is: 154,992.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,956.51 : 280,073.10 = 112,316.30 : x
  2. Step 2: Convert to fraction form
    202,956.51/280,073.10 = 112,316.30/x
  3. Step 3: Cross multiply
    202,956.51x = 280,073.10 × 112,316.30
  4. Step 4: Simplify right side
    202,956.51x = 31,456,773,582.91
  5. Step 5: Solve for x
    x = 31,456,773,582.91/202,956.51
  6. Step 6: Final answer
    x = 154,992.68

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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.