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Finding the Fourth Proportional to 212,645.64, 293,458.56 and 117,159.60

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Solution

The fourth proportional to 212,645.64, 293,458.56 and 117,159.60 is: 161,684.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,645.64 : 293,458.56 = 117,159.60 : x
  2. Step 2: Convert to fraction form
    212,645.64/293,458.56 = 117,159.60/x
  3. Step 3: Cross multiply
    212,645.64x = 293,458.56 × 117,159.60
  4. Step 4: Simplify right side
    212,645.64x = 34,381,487,506.18
  5. Step 5: Solve for x
    x = 34,381,487,506.18/212,645.64
  6. Step 6: Final answer
    x = 161,684.42

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