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Finding the Fourth Proportional to 164,563.70, 246,853.65 and 85,831.70

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Solution

The fourth proportional to 164,563.70, 246,853.65 and 85,831.70 is: 128,751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,563.70 : 246,853.65 = 85,831.70 : x
  2. Step 2: Convert to fraction form
    164,563.70/246,853.65 = 85,831.70/x
  3. Step 3: Cross multiply
    164,563.70x = 246,853.65 × 85,831.70
  4. Step 4: Simplify right side
    164,563.70x = 21,187,868,430.71
  5. Step 5: Solve for x
    x = 21,187,868,430.71/164,563.70
  6. Step 6: Final answer
    x = 128,751.77

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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.