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Finding the Fourth Proportional to 212,783.38, 293,643.04 and 117,293.49

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Solution

The fourth proportional to 212,783.38, 293,643.04 and 117,293.49 is: 161,866.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,783.38 : 293,643.04 = 117,293.49 : x
  2. Step 2: Convert to fraction form
    212,783.38/293,643.04 = 117,293.49/x
  3. Step 3: Cross multiply
    212,783.38x = 293,643.04 × 117,293.49
  4. Step 4: Simplify right side
    212,783.38x = 34,442,416,975.81
  5. Step 5: Solve for x
    x = 34,442,416,975.81/212,783.38
  6. Step 6: Final answer
    x = 161,866.11

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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.