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Finding the Fourth Proportional to 81,578.90, 112,578.18 and 45,768.14

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Solution

The fourth proportional to 81,578.90, 112,578.18 and 45,768.14 is: 63,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,578.90 : 112,578.18 = 45,768.14 : x
  2. Step 2: Convert to fraction form
    81,578.90/112,578.18 = 45,768.14/x
  3. Step 3: Cross multiply
    81,578.90x = 112,578.18 × 45,768.14
  4. Step 4: Simplify right side
    81,578.90x = 5,152,493,903.19
  5. Step 5: Solve for x
    x = 5,152,493,903.19/81,578.90
  6. Step 6: Final answer
    x = 63,159.64

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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.