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Finding the Fourth Proportional to 211,071.80, 316,534.80 and 61,271.48

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Solution

The fourth proportional to 211,071.80, 316,534.80 and 61,271.48 is: 91,886.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,071.80 : 316,534.80 = 61,271.48 : x
  2. Step 2: Convert to fraction form
    211,071.80/316,534.80 = 61,271.48/x
  3. Step 3: Cross multiply
    211,071.80x = 316,534.80 × 61,271.48
  4. Step 4: Simplify right side
    211,071.80x = 19,394,555,667.50
  5. Step 5: Solve for x
    x = 19,394,555,667.50/211,071.80
  6. Step 6: Final answer
    x = 91,886.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.