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Finding the Fourth Proportional to 81,858.96, 112,981.50 and 53,214.12

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Solution

The fourth proportional to 81,858.96, 112,981.50 and 53,214.12 is: 73,445.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,858.96 : 112,981.50 = 53,214.12 : x
  2. Step 2: Convert to fraction form
    81,858.96/112,981.50 = 53,214.12/x
  3. Step 3: Cross multiply
    81,858.96x = 112,981.50 × 53,214.12
  4. Step 4: Simplify right side
    81,858.96x = 6,012,211,098.78
  5. Step 5: Solve for x
    x = 6,012,211,098.78/81,858.96
  6. Step 6: Final answer
    x = 73,445.97

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1.5x scale

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.