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Finding the Fourth Proportional to 152,831.80, 229,247.70 and 42,023.80

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Solution

The fourth proportional to 152,831.80, 229,247.70 and 42,023.80 is: 63,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,831.80 : 229,247.70 = 42,023.80 : x
  2. Step 2: Convert to fraction form
    152,831.80/229,247.70 = 42,023.80/x
  3. Step 3: Cross multiply
    152,831.80x = 229,247.70 × 42,023.80
  4. Step 4: Simplify right side
    152,831.80x = 9,633,859,495.26
  5. Step 5: Solve for x
    x = 9,633,859,495.26/152,831.80
  6. Step 6: Final answer
    x = 63,035.70

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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.