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Finding the Fourth Proportional to 212,459.70, 318,886.38 and 107,352.48

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Solution

The fourth proportional to 212,459.70, 318,886.38 and 107,352.48 is: 161,128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,459.70 : 318,886.38 = 107,352.48 : x
  2. Step 2: Convert to fraction form
    212,459.70/318,886.38 = 107,352.48/x
  3. Step 3: Cross multiply
    212,459.70x = 318,886.38 × 107,352.48
  4. Step 4: Simplify right side
    212,459.70x = 34,233,243,731.22
  5. Step 5: Solve for x
    x = 34,233,243,731.22/212,459.70
  6. Step 6: Final answer
    x = 161,128.18

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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.