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Finding the Fourth Proportional to 211,234, 291,455.63 and 120,560.98

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Solution

The fourth proportional to 211,234, 291,455.63 and 120,560.98 is: 166,347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,234 : 291,455.63 = 120,560.98 : x
  2. Step 2: Convert to fraction form
    211,234/291,455.63 = 120,560.98/x
  3. Step 3: Cross multiply
    211,234x = 291,455.63 × 120,560.98
  4. Step 4: Simplify right side
    211,234x = 35,138,176,379.32
  5. Step 5: Solve for x
    x = 35,138,176,379.32/211,234
  6. Step 6: Final answer
    x = 166,347.16

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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.