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Finding the Fourth Proportional to 100,178.76, 150,136.90 and 55,826.40

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Solution

The fourth proportional to 100,178.76, 150,136.90 and 55,826.40 is: 83,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,178.76 : 150,136.90 = 55,826.40 : x
  2. Step 2: Convert to fraction form
    100,178.76/150,136.90 = 55,826.40/x
  3. Step 3: Cross multiply
    100,178.76x = 150,136.90 × 55,826.40
  4. Step 4: Simplify right side
    100,178.76x = 8,381,602,634.16
  5. Step 5: Solve for x
    x = 8,381,602,634.16/100,178.76
  6. Step 6: Final answer
    x = 83,666.46

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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.