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Finding the Fourth Proportional to 161,638.71, 242,458.05 and 61,809

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Solution

The fourth proportional to 161,638.71, 242,458.05 and 61,809 is: 92,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,638.71 : 242,458.05 = 61,809 : x
  2. Step 2: Convert to fraction form
    161,638.71/242,458.05 = 61,809/x
  3. Step 3: Cross multiply
    161,638.71x = 242,458.05 × 61,809
  4. Step 4: Simplify right side
    161,638.71x = 14,986,089,612.45
  5. Step 5: Solve for x
    x = 14,986,089,612.45/161,638.71
  6. Step 6: Final answer
    x = 92,713.49

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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.