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Finding the Fourth Proportional to 210,994.52, 291,150.77 and 120,343.64

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Solution

The fourth proportional to 210,994.52, 291,150.77 and 120,343.64 is: 166,061.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,994.52 : 291,150.77 = 120,343.64 : x
  2. Step 2: Convert to fraction form
    210,994.52/291,150.77 = 120,343.64/x
  3. Step 3: Cross multiply
    210,994.52x = 291,150.77 × 120,343.64
  4. Step 4: Simplify right side
    210,994.52x = 35,038,141,393.13
  5. Step 5: Solve for x
    x = 35,038,141,393.13/210,994.52
  6. Step 6: Final answer
    x = 166,061.86

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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.