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Finding the Fourth Proportional to 142,797.44, 197,065.44 and 86,197.76

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Solution

The fourth proportional to 142,797.44, 197,065.44 and 86,197.76 is: 118,955.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,797.44 : 197,065.44 = 86,197.76 : x
  2. Step 2: Convert to fraction form
    142,797.44/197,065.44 = 86,197.76/x
  3. Step 3: Cross multiply
    142,797.44x = 197,065.44 × 86,197.76
  4. Step 4: Simplify right side
    142,797.44x = 16,986,599,501.41
  5. Step 5: Solve for x
    x = 16,986,599,501.41/142,797.44
  6. Step 6: Final answer
    x = 118,955.91

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1.5x scale

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.