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Finding the Fourth Proportional to 212,247.52, 292,907.76 and 121,612

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Solution

The fourth proportional to 212,247.52, 292,907.76 and 121,612 is: 167,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,247.52 : 292,907.76 = 121,612 : x
  2. Step 2: Convert to fraction form
    212,247.52/292,907.76 = 121,612/x
  3. Step 3: Cross multiply
    212,247.52x = 292,907.76 × 121,612
  4. Step 4: Simplify right side
    212,247.52x = 35,621,098,509.12
  5. Step 5: Solve for x
    x = 35,621,098,509.12/212,247.52
  6. Step 6: Final answer
    x = 167,828.10

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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.