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Finding the Fourth Proportional to 142,654.86, 214,003.08 and 42,822.90

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Solution

The fourth proportional to 142,654.86, 214,003.08 and 42,822.90 is: 64,240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,654.86 : 214,003.08 = 42,822.90 : x
  2. Step 2: Convert to fraction form
    142,654.86/214,003.08 = 42,822.90/x
  3. Step 3: Cross multiply
    142,654.86x = 214,003.08 × 42,822.90
  4. Step 4: Simplify right side
    142,654.86x = 9,164,232,494.53
  5. Step 5: Solve for x
    x = 9,164,232,494.53/142,654.86
  6. Step 6: Final answer
    x = 64,240.59

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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.