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Finding the Fourth Proportional to 146,977.60, 220,466.40 and 76,878.40

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Solution

The fourth proportional to 146,977.60, 220,466.40 and 76,878.40 is: 115,317.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,977.60 : 220,466.40 = 76,878.40 : x
  2. Step 2: Convert to fraction form
    146,977.60/220,466.40 = 76,878.40/x
  3. Step 3: Cross multiply
    146,977.60x = 220,466.40 × 76,878.40
  4. Step 4: Simplify right side
    146,977.60x = 16,949,104,085.76
  5. Step 5: Solve for x
    x = 16,949,104,085.76/146,977.60
  6. Step 6: Final answer
    x = 115,317.60

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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.