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Finding the Fourth Proportional to 214,719.60, 322,135.08 and 81,602.16

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Solution

The fourth proportional to 214,719.60, 322,135.08 and 81,602.16 is: 122,424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,719.60 : 322,135.08 = 81,602.16 : x
  2. Step 2: Convert to fraction form
    214,719.60/322,135.08 = 81,602.16/x
  3. Step 3: Cross multiply
    214,719.60x = 322,135.08 × 81,602.16
  4. Step 4: Simplify right side
    214,719.60x = 26,286,918,339.77
  5. Step 5: Solve for x
    x = 26,286,918,339.77/214,719.60
  6. Step 6: Final answer
    x = 122,424.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.