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Finding the Fourth Proportional to 102,143.42, 153,215.16 and 32,028.20

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Solution

The fourth proportional to 102,143.42, 153,215.16 and 32,028.20 is: 48,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,143.42 : 153,215.16 = 32,028.20 : x
  2. Step 2: Convert to fraction form
    102,143.42/153,215.16 = 32,028.20/x
  3. Step 3: Cross multiply
    102,143.42x = 153,215.16 × 32,028.20
  4. Step 4: Simplify right side
    102,143.42x = 4,907,205,787.51
  5. Step 5: Solve for x
    x = 4,907,205,787.51/102,143.42
  6. Step 6: Final answer
    x = 48,042.31

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1.5x scale

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.