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Finding the Fourth Proportional to 142,798, 214,207.77 and 48,028.45

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Solution

The fourth proportional to 142,798, 214,207.77 and 48,028.45 is: 72,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,798 : 214,207.77 = 48,028.45 : x
  2. Step 2: Convert to fraction form
    142,798/214,207.77 = 48,028.45/x
  3. Step 3: Cross multiply
    142,798x = 214,207.77 × 48,028.45
  4. Step 4: Simplify right side
    142,798x = 10,288,067,171.06
  5. Step 5: Solve for x
    x = 10,288,067,171.06/142,798
  6. Step 6: Final answer
    x = 72,046.30

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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.