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Finding the Fourth Proportional to 212,850, 319,275.12 and 65,106

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Solution

The fourth proportional to 212,850, 319,275.12 and 65,106 is: 97,659.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,850 : 319,275.12 = 65,106 : x
  2. Step 2: Convert to fraction form
    212,850/319,275.12 = 65,106/x
  3. Step 3: Cross multiply
    212,850x = 319,275.12 × 65,106
  4. Step 4: Simplify right side
    212,850x = 20,786,725,962.72
  5. Step 5: Solve for x
    x = 20,786,725,962.72/212,850
  6. Step 6: Final answer
    x = 97,659.04

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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.