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Finding the Fourth Proportional to 171,831.40, 257,528.40 and 153,023.20

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Solution

The fourth proportional to 171,831.40, 257,528.40 and 153,023.20 is: 229,340.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,831.40 : 257,528.40 = 153,023.20 : x
  2. Step 2: Convert to fraction form
    171,831.40/257,528.40 = 153,023.20/x
  3. Step 3: Cross multiply
    171,831.40x = 257,528.40 × 153,023.20
  4. Step 4: Simplify right side
    171,831.40x = 39,407,819,858.88
  5. Step 5: Solve for x
    x = 39,407,819,858.88/171,831.40
  6. Step 6: Final answer
    x = 229,340.04

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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.