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Finding the Fourth Proportional to 78,578.68, 108,429.70 and 46,311.20

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Solution

The fourth proportional to 78,578.68, 108,429.70 and 46,311.20 is: 63,904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,578.68 : 108,429.70 = 46,311.20 : x
  2. Step 2: Convert to fraction form
    78,578.68/108,429.70 = 46,311.20/x
  3. Step 3: Cross multiply
    78,578.68x = 108,429.70 × 46,311.20
  4. Step 4: Simplify right side
    78,578.68x = 5,021,509,522.64
  5. Step 5: Solve for x
    x = 5,021,509,522.64/78,578.68
  6. Step 6: Final answer
    x = 63,904.22

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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.