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Finding the Fourth Proportional to 78,314.66, 108,025.07 and 46,461

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Solution

The fourth proportional to 78,314.66, 108,025.07 and 46,461 is: 64,087.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,314.66 : 108,025.07 = 46,461 : x
  2. Step 2: Convert to fraction form
    78,314.66/108,025.07 = 46,461/x
  3. Step 3: Cross multiply
    78,314.66x = 108,025.07 × 46,461
  4. Step 4: Simplify right side
    78,314.66x = 5,018,952,544.97
  5. Step 5: Solve for x
    x = 5,018,952,544.97/78,314.66
  6. Step 6: Final answer
    x = 64,087.02

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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.