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Finding the Fourth Proportional to 228,043.80, 342,260.10 and 101,878.20

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Solution

The fourth proportional to 228,043.80, 342,260.10 and 101,878.20 is: 152,904.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,043.80 : 342,260.10 = 101,878.20 : x
  2. Step 2: Convert to fraction form
    228,043.80/342,260.10 = 101,878.20/x
  3. Step 3: Cross multiply
    228,043.80x = 342,260.10 × 101,878.20
  4. Step 4: Simplify right side
    228,043.80x = 34,868,842,919.82
  5. Step 5: Solve for x
    x = 34,868,842,919.82/228,043.80
  6. Step 6: Final answer
    x = 152,904.15

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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.