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Finding the Fourth Proportional to 212,928, 319,392.48 and 65,184

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Solution

The fourth proportional to 212,928, 319,392.48 and 65,184 is: 97,776.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,928 : 319,392.48 = 65,184 : x
  2. Step 2: Convert to fraction form
    212,928/319,392.48 = 65,184/x
  3. Step 3: Cross multiply
    212,928x = 319,392.48 × 65,184
  4. Step 4: Simplify right side
    212,928x = 20,819,279,416.32
  5. Step 5: Solve for x
    x = 20,819,279,416.32/212,928
  6. Step 6: Final answer
    x = 97,776.15

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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.