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Finding the Fourth Proportional to 55,871.37, 77,102.48 and 30,720.87

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Solution

The fourth proportional to 55,871.37, 77,102.48 and 30,720.87 is: 42,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,871.37 : 77,102.48 = 30,720.87 : x
  2. Step 2: Convert to fraction form
    55,871.37/77,102.48 = 30,720.87/x
  3. Step 3: Cross multiply
    55,871.37x = 77,102.48 × 30,720.87
  4. Step 4: Simplify right side
    55,871.37x = 2,368,655,341.56
  5. Step 5: Solve for x
    x = 2,368,655,341.56/55,871.37
  6. Step 6: Final answer
    x = 42,394.80

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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.