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Finding the Fourth Proportional to 55,838, 77,056.44 and 30,687.50

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Solution

The fourth proportional to 55,838, 77,056.44 and 30,687.50 is: 42,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,838 : 77,056.44 = 30,687.50 : x
  2. Step 2: Convert to fraction form
    55,838/77,056.44 = 30,687.50/x
  3. Step 3: Cross multiply
    55,838x = 77,056.44 × 30,687.50
  4. Step 4: Simplify right side
    55,838x = 2,364,669,502.50
  5. Step 5: Solve for x
    x = 2,364,669,502.50/55,838
  6. Step 6: Final answer
    x = 42,348.75

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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.