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Finding the Fourth Proportional to 212,301.84, 292,981.20 and 116,813.60

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Solution

The fourth proportional to 212,301.84, 292,981.20 and 116,813.60 is: 161,205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,301.84 : 292,981.20 = 116,813.60 : x
  2. Step 2: Convert to fraction form
    212,301.84/292,981.20 = 116,813.60/x
  3. Step 3: Cross multiply
    212,301.84x = 292,981.20 × 116,813.60
  4. Step 4: Simplify right side
    212,301.84x = 34,224,188,704.32
  5. Step 5: Solve for x
    x = 34,224,188,704.32/212,301.84
  6. Step 6: Final answer
    x = 161,205.33

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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.