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Finding the Fourth Proportional to 56,408.65, 77,843.77 and 31,258.15

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Solution

The fourth proportional to 56,408.65, 77,843.77 and 31,258.15 is: 43,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,408.65 : 77,843.77 = 31,258.15 : x
  2. Step 2: Convert to fraction form
    56,408.65/77,843.77 = 31,258.15/x
  3. Step 3: Cross multiply
    56,408.65x = 77,843.77 × 31,258.15
  4. Step 4: Simplify right side
    56,408.65x = 2,433,252,239.23
  5. Step 5: Solve for x
    x = 2,433,252,239.23/56,408.65
  6. Step 6: Final answer
    x = 43,136.15

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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.