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Finding the Fourth Proportional to 209,861.69, 314,823.51 and 74,915.28

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Solution

The fourth proportional to 209,861.69, 314,823.51 and 74,915.28 is: 112,383.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,861.69 : 314,823.51 = 74,915.28 : x
  2. Step 2: Convert to fraction form
    209,861.69/314,823.51 = 74,915.28/x
  3. Step 3: Cross multiply
    209,861.69x = 314,823.51 × 74,915.28
  4. Step 4: Simplify right side
    209,861.69x = 23,585,091,402.23
  5. Step 5: Solve for x
    x = 23,585,091,402.23/209,861.69
  6. Step 6: Final answer
    x = 112,383.98

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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.