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Finding the Fourth Proportional to 212,492.34, 293,239.80 and 115,695.72

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Solution

The fourth proportional to 212,492.34, 293,239.80 and 115,695.72 is: 159,660.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,492.34 : 293,239.80 = 115,695.72 : x
  2. Step 2: Convert to fraction form
    212,492.34/293,239.80 = 115,695.72/x
  3. Step 3: Cross multiply
    212,492.34x = 293,239.80 × 115,695.72
  4. Step 4: Simplify right side
    212,492.34x = 33,926,589,793.66
  5. Step 5: Solve for x
    x = 33,926,589,793.66/212,492.34
  6. Step 6: Final answer
    x = 159,660.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.