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Finding the Fourth Proportional to 85,151.52, 117,486.72 and 56,808

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Solution

The fourth proportional to 85,151.52, 117,486.72 and 56,808 is: 78,380.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,151.52 : 117,486.72 = 56,808 : x
  2. Step 2: Convert to fraction form
    85,151.52/117,486.72 = 56,808/x
  3. Step 3: Cross multiply
    85,151.52x = 117,486.72 × 56,808
  4. Step 4: Simplify right side
    85,151.52x = 6,674,185,589.76
  5. Step 5: Solve for x
    x = 6,674,185,589.76/85,151.52
  6. Step 6: Final answer
    x = 78,380.11

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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.