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Finding the Fourth Proportional to 157,451.60, 217,281.80 and 85,831.60

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Solution

The fourth proportional to 157,451.60, 217,281.80 and 85,831.60 is: 118,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,451.60 : 217,281.80 = 85,831.60 : x
  2. Step 2: Convert to fraction form
    157,451.60/217,281.80 = 85,831.60/x
  3. Step 3: Cross multiply
    157,451.60x = 217,281.80 × 85,831.60
  4. Step 4: Simplify right side
    157,451.60x = 18,649,644,544.88
  5. Step 5: Solve for x
    x = 18,649,644,544.88/157,451.60
  6. Step 6: Final answer
    x = 118,446.84

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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.