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Finding the Fourth Proportional to 211,187.54, 316,834.98 and 61,427.83

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Solution

The fourth proportional to 211,187.54, 316,834.98 and 61,427.83 is: 92,157.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,187.54 : 316,834.98 = 61,427.83 : x
  2. Step 2: Convert to fraction form
    211,187.54/316,834.98 = 61,427.83/x
  3. Step 3: Cross multiply
    211,187.54x = 316,834.98 × 61,427.83
  4. Step 4: Simplify right side
    211,187.54x = 19,462,484,497.41
  5. Step 5: Solve for x
    x = 19,462,484,497.41/211,187.54
  6. Step 6: Final answer
    x = 92,157.35

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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.