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Finding the Fourth Proportional to 211,570.98, 291,967.95 and 120,928.89

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Solution

The fourth proportional to 211,570.98, 291,967.95 and 120,928.89 is: 166,881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,570.98 : 291,967.95 = 120,928.89 : x
  2. Step 2: Convert to fraction form
    211,570.98/291,967.95 = 120,928.89/x
  3. Step 3: Cross multiply
    211,570.98x = 291,967.95 × 120,928.89
  4. Step 4: Simplify right side
    211,570.98x = 35,307,359,504.43
  5. Step 5: Solve for x
    x = 35,307,359,504.43/211,570.98
  6. Step 6: Final answer
    x = 166,881.86

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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.