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Finding the Fourth Proportional to 71,710.80, 107,371.80 and 56,158.80

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Solution

The fourth proportional to 71,710.80, 107,371.80 and 56,158.80 is: 84,085.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,710.80 : 107,371.80 = 56,158.80 : x
  2. Step 2: Convert to fraction form
    71,710.80/107,371.80 = 56,158.80/x
  3. Step 3: Cross multiply
    71,710.80x = 107,371.80 × 56,158.80
  4. Step 4: Simplify right side
    71,710.80x = 6,029,871,441.84
  5. Step 5: Solve for x
    x = 6,029,871,441.84/71,710.80
  6. Step 6: Final answer
    x = 84,085.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.