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Finding the Fourth Proportional to 203,492.65, 280,916.28 and 135,622.75

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Solution

The fourth proportional to 203,492.65, 280,916.28 and 135,622.75 is: 187,223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,492.65 : 280,916.28 = 135,622.75 : x
  2. Step 2: Convert to fraction form
    203,492.65/280,916.28 = 135,622.75/x
  3. Step 3: Cross multiply
    203,492.65x = 280,916.28 × 135,622.75
  4. Step 4: Simplify right side
    203,492.65x = 38,098,638,413.37
  5. Step 5: Solve for x
    x = 38,098,638,413.37/203,492.65
  6. Step 6: Final answer
    x = 187,223.66

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1.5x scale

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.