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Finding the Fourth Proportional to 203,427.74, 280,746.83 and 112,812.10

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Solution

The fourth proportional to 203,427.74, 280,746.83 and 112,812.10 is: 155,689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,427.74 : 280,746.83 = 112,812.10 : x
  2. Step 2: Convert to fraction form
    203,427.74/280,746.83 = 112,812.10/x
  3. Step 3: Cross multiply
    203,427.74x = 280,746.83 × 112,812.10
  4. Step 4: Simplify right side
    203,427.74x = 31,671,639,460.64
  5. Step 5: Solve for x
    x = 31,671,639,460.64/203,427.74
  6. Step 6: Final answer
    x = 155,689.88

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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.