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Finding the Fourth Proportional to 164,787, 247,180.34 and 142,534.22

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Solution

The fourth proportional to 164,787, 247,180.34 and 142,534.22 is: 213,801.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,787 : 247,180.34 = 142,534.22 : x
  2. Step 2: Convert to fraction form
    164,787/247,180.34 = 142,534.22/x
  3. Step 3: Cross multiply
    164,787x = 247,180.34 × 142,534.22
  4. Step 4: Simplify right side
    164,787x = 35,231,656,961.23
  5. Step 5: Solve for x
    x = 35,231,656,961.23/164,787
  6. Step 6: Final answer
    x = 213,801.19

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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.