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Finding the Fourth Proportional to 78,216.66, 107,834.57 and 62,137.32

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Solution

The fourth proportional to 78,216.66, 107,834.57 and 62,137.32 is: 85,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,216.66 : 107,834.57 = 62,137.32 : x
  2. Step 2: Convert to fraction form
    78,216.66/107,834.57 = 62,137.32/x
  3. Step 3: Cross multiply
    78,216.66x = 107,834.57 × 62,137.32
  4. Step 4: Simplify right side
    78,216.66x = 6,700,550,333.29
  5. Step 5: Solve for x
    x = 6,700,550,333.29/78,216.66
  6. Step 6: Final answer
    x = 85,666.54

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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.