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Finding the Fourth Proportional to 78,314.73, 108,074.49 and 46,490.01

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Solution

The fourth proportional to 78,314.73, 108,074.49 and 46,490.01 is: 64,156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,314.73 : 108,074.49 = 46,490.01 : x
  2. Step 2: Convert to fraction form
    78,314.73/108,074.49 = 46,490.01/x
  3. Step 3: Cross multiply
    78,314.73x = 108,074.49 × 46,490.01
  4. Step 4: Simplify right side
    78,314.73x = 5,024,384,120.84
  5. Step 5: Solve for x
    x = 5,024,384,120.84/78,314.73
  6. Step 6: Final answer
    x = 64,156.31

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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.