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Finding the Fourth Proportional to 212,967.76, 319,481.28 and 78,014.32

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Solution

The fourth proportional to 212,967.76, 319,481.28 and 78,014.32 is: 117,032.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,967.76 : 319,481.28 = 78,014.32 : x
  2. Step 2: Convert to fraction form
    212,967.76/319,481.28 = 78,014.32/x
  3. Step 3: Cross multiply
    212,967.76x = 319,481.28 × 78,014.32
  4. Step 4: Simplify right side
    212,967.76x = 24,924,114,811.93
  5. Step 5: Solve for x
    x = 24,924,114,811.93/212,967.76
  6. Step 6: Final answer
    x = 117,032.34

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1.5x scale

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.