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Finding the Fourth Proportional to 210,897.84, 291,046.32 and 120,267.48

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Solution

The fourth proportional to 210,897.84, 291,046.32 and 120,267.48 is: 165,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,897.84 : 291,046.32 = 120,267.48 : x
  2. Step 2: Convert to fraction form
    210,897.84/291,046.32 = 120,267.48/x
  3. Step 3: Cross multiply
    210,897.84x = 291,046.32 × 120,267.48
  4. Step 4: Simplify right side
    210,897.84x = 35,003,407,469.67
  5. Step 5: Solve for x
    x = 35,003,407,469.67/210,897.84
  6. Step 6: Final answer
    x = 165,973.29

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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.