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Finding the Fourth Proportional to 164,880.90, 247,321.35 and 105,831.90

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Solution

The fourth proportional to 164,880.90, 247,321.35 and 105,831.90 is: 158,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,880.90 : 247,321.35 = 105,831.90 : x
  2. Step 2: Convert to fraction form
    164,880.90/247,321.35 = 105,831.90/x
  3. Step 3: Cross multiply
    164,880.90x = 247,321.35 × 105,831.90
  4. Step 4: Simplify right side
    164,880.90x = 26,174,488,381.07
  5. Step 5: Solve for x
    x = 26,174,488,381.07/164,880.90
  6. Step 6: Final answer
    x = 158,747.85

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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.