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Finding the Fourth Proportional to 140,258.69, 210,492.53 and 102,915.26

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Solution

The fourth proportional to 140,258.69, 210,492.53 and 102,915.26 is: 154,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,258.69 : 210,492.53 = 102,915.26 : x
  2. Step 2: Convert to fraction form
    140,258.69/210,492.53 = 102,915.26/x
  3. Step 3: Cross multiply
    140,258.69x = 210,492.53 × 102,915.26
  4. Step 4: Simplify right side
    140,258.69x = 21,662,893,453.01
  5. Step 5: Solve for x
    x = 21,662,893,453.01/140,258.69
  6. Step 6: Final answer
    x = 154,449.56

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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.