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Finding the Fourth Proportional to 210,434.52, 315,749.16 and 92,090.28

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Solution

The fourth proportional to 210,434.52, 315,749.16 and 92,090.28 is: 138,178.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,434.52 : 315,749.16 = 92,090.28 : x
  2. Step 2: Convert to fraction form
    210,434.52/315,749.16 = 92,090.28/x
  3. Step 3: Cross multiply
    210,434.52x = 315,749.16 × 92,090.28
  4. Step 4: Simplify right side
    210,434.52x = 29,077,428,554.16
  5. Step 5: Solve for x
    x = 29,077,428,554.16/210,434.52
  6. Step 6: Final answer
    x = 138,178.04

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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.