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Finding the Fourth Proportional to 214,812, 296,445.28 and 118,017.12

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Solution

The fourth proportional to 214,812, 296,445.28 and 118,017.12 is: 162,866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,812 : 296,445.28 = 118,017.12 : x
  2. Step 2: Convert to fraction form
    214,812/296,445.28 = 118,017.12/x
  3. Step 3: Cross multiply
    214,812x = 296,445.28 × 118,017.12
  4. Step 4: Simplify right side
    214,812x = 34,985,618,183.19
  5. Step 5: Solve for x
    x = 34,985,618,183.19/214,812
  6. Step 6: Final answer
    x = 162,866.22

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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.