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Finding the Fourth Proportional to 207,804.36, 286,769.34 and 112,310.76

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Solution

The fourth proportional to 207,804.36, 286,769.34 and 112,310.76 is: 154,988.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,804.36 : 286,769.34 = 112,310.76 : x
  2. Step 2: Convert to fraction form
    207,804.36/286,769.34 = 112,310.76/x
  3. Step 3: Cross multiply
    207,804.36x = 286,769.34 × 112,310.76
  4. Step 4: Simplify right side
    207,804.36x = 32,207,282,520.10
  5. Step 5: Solve for x
    x = 32,207,282,520.10/207,804.36
  6. Step 6: Final answer
    x = 154,988.48

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1.5x scale

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.