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Finding the Fourth Proportional to 60,691.76, 91,037.64 and 19,142

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Solution

The fourth proportional to 60,691.76, 91,037.64 and 19,142 is: 28,713.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,691.76 : 91,037.64 = 19,142 : x
  2. Step 2: Convert to fraction form
    60,691.76/91,037.64 = 19,142/x
  3. Step 3: Cross multiply
    60,691.76x = 91,037.64 × 19,142
  4. Step 4: Simplify right side
    60,691.76x = 1,742,642,504.88
  5. Step 5: Solve for x
    x = 1,742,642,504.88/60,691.76
  6. Step 6: Final answer
    x = 28,713.00

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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.