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Finding the Fourth Proportional to 212,902.32, 293,807.28 and 117,406.56

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Solution

The fourth proportional to 212,902.32, 293,807.28 and 117,406.56 is: 162,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,902.32 : 293,807.28 = 117,406.56 : x
  2. Step 2: Convert to fraction form
    212,902.32/293,807.28 = 117,406.56/x
  3. Step 3: Cross multiply
    212,902.32x = 293,807.28 × 117,406.56
  4. Step 4: Simplify right side
    212,902.32x = 34,494,902,047.76
  5. Step 5: Solve for x
    x = 34,494,902,047.76/212,902.32
  6. Step 6: Final answer
    x = 162,022.20

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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.