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Finding the Fourth Proportional to 211,375.64, 291,698.08 and 115,888.46

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Solution

The fourth proportional to 211,375.64, 291,698.08 and 115,888.46 is: 159,925.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,375.64 : 291,698.08 = 115,888.46 : x
  2. Step 2: Convert to fraction form
    211,375.64/291,698.08 = 115,888.46/x
  3. Step 3: Cross multiply
    211,375.64x = 291,698.08 × 115,888.46
  4. Step 4: Simplify right side
    211,375.64x = 33,804,439,527.95
  5. Step 5: Solve for x
    x = 33,804,439,527.95/211,375.64
  6. Step 6: Final answer
    x = 159,925.90

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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.