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Finding the Fourth Proportional to 56,849.76, 85,266.72 and 19,409.76

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Solution

The fourth proportional to 56,849.76, 85,266.72 and 19,409.76 is: 29,111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,849.76 : 85,266.72 = 19,409.76 : x
  2. Step 2: Convert to fraction form
    56,849.76/85,266.72 = 19,409.76/x
  3. Step 3: Cross multiply
    56,849.76x = 85,266.72 × 19,409.76
  4. Step 4: Simplify right side
    56,849.76x = 1,655,006,571.19
  5. Step 5: Solve for x
    x = 1,655,006,571.19/56,849.76
  6. Step 6: Final answer
    x = 29,111.94

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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.