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Finding the Fourth Proportional to 142,017.60, 213,026.40 and 71,887.80

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Solution

The fourth proportional to 142,017.60, 213,026.40 and 71,887.80 is: 107,831.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,017.60 : 213,026.40 = 71,887.80 : x
  2. Step 2: Convert to fraction form
    142,017.60/213,026.40 = 71,887.80/x
  3. Step 3: Cross multiply
    142,017.60x = 213,026.40 × 71,887.80
  4. Step 4: Simplify right side
    142,017.60x = 15,313,999,237.92
  5. Step 5: Solve for x
    x = 15,313,999,237.92/142,017.60
  6. Step 6: Final answer
    x = 107,831.70

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1.5x scale

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.