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Finding the Fourth Proportional to 203,421.71, 280,738.59 and 112,806.10

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Solution

The fourth proportional to 203,421.71, 280,738.59 and 112,806.10 is: 155,681.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,421.71 : 280,738.59 = 112,806.10 : x
  2. Step 2: Convert to fraction form
    203,421.71/280,738.59 = 112,806.10/x
  3. Step 3: Cross multiply
    203,421.71x = 280,738.59 × 112,806.10
  4. Step 4: Simplify right side
    203,421.71x = 31,669,025,457.40
  5. Step 5: Solve for x
    x = 31,669,025,457.40/203,421.71
  6. Step 6: Final answer
    x = 155,681.64

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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.