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Finding the Fourth Proportional to 212,321.46, 293,005.65 and 116,830.20

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Solution

The fourth proportional to 212,321.46, 293,005.65 and 116,830.20 is: 161,226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,321.46 : 293,005.65 = 116,830.20 : x
  2. Step 2: Convert to fraction form
    212,321.46/293,005.65 = 116,830.20/x
  3. Step 3: Cross multiply
    212,321.46x = 293,005.65 × 116,830.20
  4. Step 4: Simplify right side
    212,321.46x = 34,231,908,690.63
  5. Step 5: Solve for x
    x = 34,231,908,690.63/212,321.46
  6. Step 6: Final answer
    x = 161,226.80

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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.