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Finding the Fourth Proportional to 207,478.44, 286,322.95 and 121,491

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Solution

The fourth proportional to 207,478.44, 286,322.95 and 121,491 is: 167,659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,478.44 : 286,322.95 = 121,491 : x
  2. Step 2: Convert to fraction form
    207,478.44/286,322.95 = 121,491/x
  3. Step 3: Cross multiply
    207,478.44x = 286,322.95 × 121,491
  4. Step 4: Simplify right side
    207,478.44x = 34,785,661,518.45
  5. Step 5: Solve for x
    x = 34,785,661,518.45/207,478.44
  6. Step 6: Final answer
    x = 167,659.16

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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.