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Finding the Fourth Proportional to 212,497, 293,245.86 and 118,289

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Solution

The fourth proportional to 212,497, 293,245.86 and 118,289 is: 163,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,497 : 293,245.86 = 118,289 : x
  2. Step 2: Convert to fraction form
    212,497/293,245.86 = 118,289/x
  3. Step 3: Cross multiply
    212,497x = 293,245.86 × 118,289
  4. Step 4: Simplify right side
    212,497x = 34,687,759,533.54
  5. Step 5: Solve for x
    x = 34,687,759,533.54/212,497
  6. Step 6: Final answer
    x = 163,238.82

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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.