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Finding the Fourth Proportional to 161,755.20, 242,632.80 and 102,657.60

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Solution

The fourth proportional to 161,755.20, 242,632.80 and 102,657.60 is: 153,986.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,755.20 : 242,632.80 = 102,657.60 : x
  2. Step 2: Convert to fraction form
    161,755.20/242,632.80 = 102,657.60/x
  3. Step 3: Cross multiply
    161,755.20x = 242,632.80 × 102,657.60
  4. Step 4: Simplify right side
    161,755.20x = 24,908,100,929.28
  5. Step 5: Solve for x
    x = 24,908,100,929.28/161,755.20
  6. Step 6: Final answer
    x = 153,986.40

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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.