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Finding the Fourth Proportional to 142,878.20, 214,326.21 and 37,697.27

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Solution

The fourth proportional to 142,878.20, 214,326.21 and 37,697.27 is: 56,548.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,878.20 : 214,326.21 = 37,697.27 : x
  2. Step 2: Convert to fraction form
    142,878.20/214,326.21 = 37,697.27/x
  3. Step 3: Cross multiply
    142,878.20x = 214,326.21 × 37,697.27
  4. Step 4: Simplify right side
    142,878.20x = 8,079,513,006.45
  5. Step 5: Solve for x
    x = 8,079,513,006.45/142,878.20
  6. Step 6: Final answer
    x = 56,548.26

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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.