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Finding the Fourth Proportional to 212,712, 293,546.22 and 137,391.72

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Solution

The fourth proportional to 212,712, 293,546.22 and 137,391.72 is: 189,602.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,712 : 293,546.22 = 137,391.72 : x
  2. Step 2: Convert to fraction form
    212,712/293,546.22 = 137,391.72/x
  3. Step 3: Cross multiply
    212,712x = 293,546.22 × 137,391.72
  4. Step 4: Simplify right side
    212,712x = 40,330,820,065.30
  5. Step 5: Solve for x
    x = 40,330,820,065.30/212,712
  6. Step 6: Final answer
    x = 189,602.94

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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.