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Finding the Fourth Proportional to 178,128.80, 266,847.60 and 99,101.60

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Solution

The fourth proportional to 178,128.80, 266,847.60 and 99,101.60 is: 148,460.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,128.80 : 266,847.60 = 99,101.60 : x
  2. Step 2: Convert to fraction form
    178,128.80/266,847.60 = 99,101.60/x
  3. Step 3: Cross multiply
    178,128.80x = 266,847.60 × 99,101.60
  4. Step 4: Simplify right side
    178,128.80x = 26,445,024,116.16
  5. Step 5: Solve for x
    x = 26,445,024,116.16/178,128.80
  6. Step 6: Final answer
    x = 148,460.13

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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.