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Finding the Fourth Proportional to 159,586.41, 220,225.32 and 87,964.86

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Solution

The fourth proportional to 159,586.41, 220,225.32 and 87,964.86 is: 121,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,586.41 : 220,225.32 = 87,964.86 : x
  2. Step 2: Convert to fraction form
    159,586.41/220,225.32 = 87,964.86/x
  3. Step 3: Cross multiply
    159,586.41x = 220,225.32 × 87,964.86
  4. Step 4: Simplify right side
    159,586.41x = 19,372,089,442.26
  5. Step 5: Solve for x
    x = 19,372,089,442.26/159,586.41
  6. Step 6: Final answer
    x = 121,389.34

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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.