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Finding the Fourth Proportional to 210,084.20, 314,978.68 and 76,947.16

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Solution

The fourth proportional to 210,084.20, 314,978.68 and 76,947.16 is: 115,366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,084.20 : 314,978.68 = 76,947.16 : x
  2. Step 2: Convert to fraction form
    210,084.20/314,978.68 = 76,947.16/x
  3. Step 3: Cross multiply
    210,084.20x = 314,978.68 × 76,947.16
  4. Step 4: Simplify right side
    210,084.20x = 24,236,714,886.55
  5. Step 5: Solve for x
    x = 24,236,714,886.55/210,084.20
  6. Step 6: Final answer
    x = 115,366.67

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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.