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Finding the Fourth Proportional to 119,279.70, 164,607.28 and 64,831.86

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Solution

The fourth proportional to 119,279.70, 164,607.28 and 64,831.86 is: 89,468.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,279.70 : 164,607.28 = 64,831.86 : x
  2. Step 2: Convert to fraction form
    119,279.70/164,607.28 = 64,831.86/x
  3. Step 3: Cross multiply
    119,279.70x = 164,607.28 × 64,831.86
  4. Step 4: Simplify right side
    119,279.70x = 10,671,796,131.94
  5. Step 5: Solve for x
    x = 10,671,796,131.94/119,279.70
  6. Step 6: Final answer
    x = 89,468.67

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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.