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Finding the Fourth Proportional to 203,200.65, 280,405.80 and 112,549.50

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Solution

The fourth proportional to 203,200.65, 280,405.80 and 112,549.50 is: 155,312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,200.65 : 280,405.80 = 112,549.50 : x
  2. Step 2: Convert to fraction form
    203,200.65/280,405.80 = 112,549.50/x
  3. Step 3: Cross multiply
    203,200.65x = 280,405.80 × 112,549.50
  4. Step 4: Simplify right side
    203,200.65x = 31,559,532,587.10
  5. Step 5: Solve for x
    x = 31,559,532,587.10/203,200.65
  6. Step 6: Final answer
    x = 155,312.16

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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.