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Finding the Fourth Proportional to 224,421.01, 309,655.60 and 142,781.68

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Solution

The fourth proportional to 224,421.01, 309,655.60 and 142,781.68 is: 197,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,421.01 : 309,655.60 = 142,781.68 : x
  2. Step 2: Convert to fraction form
    224,421.01/309,655.60 = 142,781.68/x
  3. Step 3: Cross multiply
    224,421.01x = 309,655.60 × 142,781.68
  4. Step 4: Simplify right side
    224,421.01x = 44,213,146,789.41
  5. Step 5: Solve for x
    x = 44,213,146,789.41/224,421.01
  6. Step 6: Final answer
    x = 197,009.84

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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.