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Finding the Fourth Proportional to 78,382.94, 108,165.39 and 46,551.02

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Solution

The fourth proportional to 78,382.94, 108,165.39 and 46,551.02 is: 64,238.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,382.94 : 108,165.39 = 46,551.02 : x
  2. Step 2: Convert to fraction form
    78,382.94/108,165.39 = 46,551.02/x
  3. Step 3: Cross multiply
    78,382.94x = 108,165.39 × 46,551.02
  4. Step 4: Simplify right side
    78,382.94x = 5,035,209,233.20
  5. Step 5: Solve for x
    x = 5,035,209,233.20/78,382.94
  6. Step 6: Final answer
    x = 64,238.59

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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.