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Finding the Fourth Proportional to 165,715.40, 248,573.10 and 65,842.40

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Solution

The fourth proportional to 165,715.40, 248,573.10 and 65,842.40 is: 98,763.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,715.40 : 248,573.10 = 65,842.40 : x
  2. Step 2: Convert to fraction form
    165,715.40/248,573.10 = 65,842.40/x
  3. Step 3: Cross multiply
    165,715.40x = 248,573.10 × 65,842.40
  4. Step 4: Simplify right side
    165,715.40x = 16,366,649,479.44
  5. Step 5: Solve for x
    x = 16,366,649,479.44/165,715.40
  6. Step 6: Final answer
    x = 98,763.60

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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.