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Finding the Fourth Proportional to 209,881.80, 314,915.76 and 110,018.16

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Solution

The fourth proportional to 209,881.80, 314,915.76 and 110,018.16 is: 165,076.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,881.80 : 314,915.76 = 110,018.16 : x
  2. Step 2: Convert to fraction form
    209,881.80/314,915.76 = 110,018.16/x
  3. Step 3: Cross multiply
    209,881.80x = 314,915.76 × 110,018.16
  4. Step 4: Simplify right side
    209,881.80x = 34,646,452,470.20
  5. Step 5: Solve for x
    x = 34,646,452,470.20/209,881.80
  6. Step 6: Final answer
    x = 165,076.02

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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.