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Finding the Fourth Proportional to 215,725, 297,710.64 and 120,232.39

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Solution

The fourth proportional to 215,725, 297,710.64 and 120,232.39 is: 165,926.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,725 : 297,710.64 = 120,232.39 : x
  2. Step 2: Convert to fraction form
    215,725/297,710.64 = 120,232.39/x
  3. Step 3: Cross multiply
    215,725x = 297,710.64 × 120,232.39
  4. Step 4: Simplify right side
    215,725x = 35,794,461,775.63
  5. Step 5: Solve for x
    x = 35,794,461,775.63/215,725
  6. Step 6: Final answer
    x = 165,926.35

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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.