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Finding the Fourth Proportional to 214,205, 295,233.70 and 142,456.68

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Solution

The fourth proportional to 214,205, 295,233.70 and 142,456.68 is: 196,344.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,205 : 295,233.70 = 142,456.68 : x
  2. Step 2: Convert to fraction form
    214,205/295,233.70 = 142,456.68/x
  3. Step 3: Cross multiply
    214,205x = 295,233.70 × 142,456.68
  4. Step 4: Simplify right side
    214,205x = 42,058,012,726.12
  5. Step 5: Solve for x
    x = 42,058,012,726.12/214,205
  6. Step 6: Final answer
    x = 196,344.68

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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.