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Finding the Fourth Proportional to 72,691, 109,036.50 and 19,383.16

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Solution

The fourth proportional to 72,691, 109,036.50 and 19,383.16 is: 29,074.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,691 : 109,036.50 = 19,383.16 : x
  2. Step 2: Convert to fraction form
    72,691/109,036.50 = 19,383.16/x
  3. Step 3: Cross multiply
    72,691x = 109,036.50 × 19,383.16
  4. Step 4: Simplify right side
    72,691x = 2,113,471,925.34
  5. Step 5: Solve for x
    x = 2,113,471,925.34/72,691
  6. Step 6: Final answer
    x = 29,074.74

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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.