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Finding the Fourth Proportional to 211,188.80, 316,836.86 and 61,429.08

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Solution

The fourth proportional to 211,188.80, 316,836.86 and 61,429.08 is: 92,159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,188.80 : 316,836.86 = 61,429.08 : x
  2. Step 2: Convert to fraction form
    211,188.80/316,836.86 = 61,429.08/x
  3. Step 3: Cross multiply
    211,188.80x = 316,836.86 × 61,429.08
  4. Step 4: Simplify right side
    211,188.80x = 19,462,996,819.89
  5. Step 5: Solve for x
    x = 19,462,996,819.89/211,188.80
  6. Step 6: Final answer
    x = 92,159.23

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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.