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Finding the Fourth Proportional to 178,772.28, 268,271.37 and 99,938.22

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Solution

The fourth proportional to 178,772.28, 268,271.37 and 99,938.22 is: 149,970.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,772.28 : 268,271.37 = 99,938.22 : x
  2. Step 2: Convert to fraction form
    178,772.28/268,271.37 = 99,938.22/x
  3. Step 3: Cross multiply
    178,772.28x = 268,271.37 × 99,938.22
  4. Step 4: Simplify right side
    178,772.28x = 26,810,563,194.76
  5. Step 5: Solve for x
    x = 26,810,563,194.76/178,772.28
  6. Step 6: Final answer
    x = 149,970.47

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1.5x scale

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.