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Finding the Fourth Proportional to 169,871.20, 254,831.10 and 51,551.80

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Solution

The fourth proportional to 169,871.20, 254,831.10 and 51,551.80 is: 77,335.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,871.20 : 254,831.10 = 51,551.80 : x
  2. Step 2: Convert to fraction form
    169,871.20/254,831.10 = 51,551.80/x
  3. Step 3: Cross multiply
    169,871.20x = 254,831.10 × 51,551.80
  4. Step 4: Simplify right side
    169,871.20x = 13,137,001,900.98
  5. Step 5: Solve for x
    x = 13,137,001,900.98/169,871.20
  6. Step 6: Final answer
    x = 77,335.07

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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.