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Finding the Fourth Proportional to 78,317.66, 108,029.21 and 46,464

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Solution

The fourth proportional to 78,317.66, 108,029.21 and 46,464 is: 64,091.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,317.66 : 108,029.21 = 46,464 : x
  2. Step 2: Convert to fraction form
    78,317.66/108,029.21 = 46,464/x
  3. Step 3: Cross multiply
    78,317.66x = 108,029.21 × 46,464
  4. Step 4: Simplify right side
    78,317.66x = 5,019,468,981.12
  5. Step 5: Solve for x
    x = 5,019,468,981.12/78,317.66
  6. Step 6: Final answer
    x = 64,091.16

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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.