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Finding the Fourth Proportional to 146,578.60, 219,867.90 and 76,448.80

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Solution

The fourth proportional to 146,578.60, 219,867.90 and 76,448.80 is: 114,673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,578.60 : 219,867.90 = 76,448.80 : x
  2. Step 2: Convert to fraction form
    146,578.60/219,867.90 = 76,448.80/x
  3. Step 3: Cross multiply
    146,578.60x = 219,867.90 × 76,448.80
  4. Step 4: Simplify right side
    146,578.60x = 16,808,637,113.52
  5. Step 5: Solve for x
    x = 16,808,637,113.52/146,578.60
  6. Step 6: Final answer
    x = 114,673.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.