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Finding the Fourth Proportional to 212,097.30, 318,129.41 and 123,294.17

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Solution

The fourth proportional to 212,097.30, 318,129.41 and 123,294.17 is: 184,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,097.30 : 318,129.41 = 123,294.17 : x
  2. Step 2: Convert to fraction form
    212,097.30/318,129.41 = 123,294.17/x
  3. Step 3: Cross multiply
    212,097.30x = 318,129.41 × 123,294.17
  4. Step 4: Simplify right side
    212,097.30x = 39,223,501,558.54
  5. Step 5: Solve for x
    x = 39,223,501,558.54/212,097.30
  6. Step 6: Final answer
    x = 184,931.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.