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Finding the Fourth Proportional to 78,356.25, 117,435.83 and 56,213.01

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Solution

The fourth proportional to 78,356.25, 117,435.83 and 56,213.01 is: 84,248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,356.25 : 117,435.83 = 56,213.01 : x
  2. Step 2: Convert to fraction form
    78,356.25/117,435.83 = 56,213.01/x
  3. Step 3: Cross multiply
    78,356.25x = 117,435.83 × 56,213.01
  4. Step 4: Simplify right side
    78,356.25x = 6,601,421,205.08
  5. Step 5: Solve for x
    x = 6,601,421,205.08/78,356.25
  6. Step 6: Final answer
    x = 84,248.81

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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.