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Finding the Fourth Proportional to 178,970.68, 268,214.10 and 79,113.88

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Solution

The fourth proportional to 178,970.68, 268,214.10 and 79,113.88 is: 118,563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,970.68 : 268,214.10 = 79,113.88 : x
  2. Step 2: Convert to fraction form
    178,970.68/268,214.10 = 79,113.88/x
  3. Step 3: Cross multiply
    178,970.68x = 268,214.10 × 79,113.88
  4. Step 4: Simplify right side
    178,970.68x = 21,219,458,121.71
  5. Step 5: Solve for x
    x = 21,219,458,121.71/178,970.68
  6. Step 6: Final answer
    x = 118,563.88

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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.