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Finding the Fourth Proportional to 121,880.10, 182,820.15 and 106,328.10

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Solution

The fourth proportional to 121,880.10, 182,820.15 and 106,328.10 is: 159,492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,880.10 : 182,820.15 = 106,328.10 : x
  2. Step 2: Convert to fraction form
    121,880.10/182,820.15 = 106,328.10/x
  3. Step 3: Cross multiply
    121,880.10x = 182,820.15 × 106,328.10
  4. Step 4: Simplify right side
    121,880.10x = 19,438,919,191.22
  5. Step 5: Solve for x
    x = 19,438,919,191.22/121,880.10
  6. Step 6: Final answer
    x = 159,492.15

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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.