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Finding the Fourth Proportional to 56,469.66, 77,928.18 and 31,319.16

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Solution

The fourth proportional to 56,469.66, 77,928.18 and 31,319.16 is: 43,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,469.66 : 77,928.18 = 31,319.16 : x
  2. Step 2: Convert to fraction form
    56,469.66/77,928.18 = 31,319.16/x
  3. Step 3: Cross multiply
    56,469.66x = 77,928.18 × 31,319.16
  4. Step 4: Simplify right side
    56,469.66x = 2,440,644,728.25
  5. Step 5: Solve for x
    x = 2,440,644,728.25/56,469.66
  6. Step 6: Final answer
    x = 43,220.46

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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.