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Finding the Fourth Proportional to 212,998.76, 293,938.28 and 117,505.46

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Solution

The fourth proportional to 212,998.76, 293,938.28 and 117,505.46 is: 162,157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,998.76 : 293,938.28 = 117,505.46 : x
  2. Step 2: Convert to fraction form
    212,998.76/293,938.28 = 117,505.46/x
  3. Step 3: Cross multiply
    212,998.76x = 293,938.28 × 117,505.46
  4. Step 4: Simplify right side
    212,998.76x = 34,539,352,357.72
  5. Step 5: Solve for x
    x = 34,539,352,357.72/212,998.76
  6. Step 6: Final answer
    x = 162,157.52

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1.5x scale

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.