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Finding the Fourth Proportional to 56,637.60, 78,161.90 and 31,145.90

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Solution

The fourth proportional to 56,637.60, 78,161.90 and 31,145.90 is: 42,982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,637.60 : 78,161.90 = 31,145.90 : x
  2. Step 2: Convert to fraction form
    56,637.60/78,161.90 = 31,145.90/x
  3. Step 3: Cross multiply
    56,637.60x = 78,161.90 × 31,145.90
  4. Step 4: Simplify right side
    56,637.60x = 2,434,422,721.21
  5. Step 5: Solve for x
    x = 2,434,422,721.21/56,637.60
  6. Step 6: Final answer
    x = 42,982.45

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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.