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Finding the Fourth Proportional to 159,032.80, 219,486 and 102,608.32

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Solution

The fourth proportional to 159,032.80, 219,486 and 102,608.32 is: 141,612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,032.80 : 219,486 = 102,608.32 : x
  2. Step 2: Convert to fraction form
    159,032.80/219,486 = 102,608.32/x
  3. Step 3: Cross multiply
    159,032.80x = 219,486 × 102,608.32
  4. Step 4: Simplify right side
    159,032.80x = 22,521,089,723.52
  5. Step 5: Solve for x
    x = 22,521,089,723.52/159,032.80
  6. Step 6: Final answer
    x = 141,612.86

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1.5x scale

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.