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Finding the Fourth Proportional to 210,887.84, 291,032.52 and 120,257.48

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Solution

The fourth proportional to 210,887.84, 291,032.52 and 120,257.48 is: 165,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,887.84 : 291,032.52 = 120,257.48 : x
  2. Step 2: Convert to fraction form
    210,887.84/291,032.52 = 120,257.48/x
  3. Step 3: Cross multiply
    210,887.84x = 291,032.52 × 120,257.48
  4. Step 4: Simplify right side
    210,887.84x = 34,998,837,453.25
  5. Step 5: Solve for x
    x = 34,998,837,453.25/210,887.84
  6. Step 6: Final answer
    x = 165,959.49

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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.