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Finding the Fourth Proportional to 203,427.68, 280,746.83 and 112,812.06

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Solution

The fourth proportional to 203,427.68, 280,746.83 and 112,812.06 is: 155,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,427.68 : 280,746.83 = 112,812.06 : x
  2. Step 2: Convert to fraction form
    203,427.68/280,746.83 = 112,812.06/x
  3. Step 3: Cross multiply
    203,427.68x = 280,746.83 × 112,812.06
  4. Step 4: Simplify right side
    203,427.68x = 31,671,628,931.03
  5. Step 5: Solve for x
    x = 31,671,628,931.03/203,427.68
  6. Step 6: Final answer
    x = 155,689.87

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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.