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Finding the Fourth Proportional to 55,549.60, 76,658.13 and 51,031

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Solution

The fourth proportional to 55,549.60, 76,658.13 and 51,031 is: 70,422.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,549.60 : 76,658.13 = 51,031 : x
  2. Step 2: Convert to fraction form
    55,549.60/76,658.13 = 51,031/x
  3. Step 3: Cross multiply
    55,549.60x = 76,658.13 × 51,031
  4. Step 4: Simplify right side
    55,549.60x = 3,911,941,032.03
  5. Step 5: Solve for x
    x = 3,911,941,032.03/55,549.60
  6. Step 6: Final answer
    x = 70,422.49

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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.