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Finding the Fourth Proportional to 71,781.64, 107,672.47 and 19,189.76

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Solution

The fourth proportional to 71,781.64, 107,672.47 and 19,189.76 is: 28,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,781.64 : 107,672.47 = 19,189.76 : x
  2. Step 2: Convert to fraction form
    71,781.64/107,672.47 = 19,189.76/x
  3. Step 3: Cross multiply
    71,781.64x = 107,672.47 × 19,189.76
  4. Step 4: Simplify right side
    71,781.64x = 2,066,208,877.23
  5. Step 5: Solve for x
    x = 2,066,208,877.23/71,781.64
  6. Step 6: Final answer
    x = 28,784.64

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1.5x scale

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.