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Finding the Fourth Proportional to 55,019.80, 75,929.14 and 31,145.98

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Solution

The fourth proportional to 55,019.80, 75,929.14 and 31,145.98 is: 42,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,019.80 : 75,929.14 = 31,145.98 : x
  2. Step 2: Convert to fraction form
    55,019.80/75,929.14 = 31,145.98/x
  3. Step 3: Cross multiply
    55,019.80x = 75,929.14 × 31,145.98
  4. Step 4: Simplify right side
    55,019.80x = 2,364,887,475.86
  5. Step 5: Solve for x
    x = 2,364,887,475.86/55,019.80
  6. Step 6: Final answer
    x = 42,982.48

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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.