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Finding the Fourth Proportional to 212,232.25, 292,922.10 and 121,648.93

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Solution

The fourth proportional to 212,232.25, 292,922.10 and 121,648.93 is: 167,899.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,232.25 : 292,922.10 = 121,648.93 : x
  2. Step 2: Convert to fraction form
    212,232.25/292,922.10 = 121,648.93/x
  3. Step 3: Cross multiply
    212,232.25x = 292,922.10 × 121,648.93
  4. Step 4: Simplify right side
    212,232.25x = 35,633,660,038.35
  5. Step 5: Solve for x
    x = 35,633,660,038.35/212,232.25
  6. Step 6: Final answer
    x = 167,899.37

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1.5x scale

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.