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Finding the Fourth Proportional to 211,111.96, 316,624.12 and 77,901.11

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Solution

The fourth proportional to 211,111.96, 316,624.12 and 77,901.11 is: 116,835.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,111.96 : 316,624.12 = 77,901.11 : x
  2. Step 2: Convert to fraction form
    211,111.96/316,624.12 = 77,901.11/x
  3. Step 3: Cross multiply
    211,111.96x = 316,624.12 × 77,901.11
  4. Step 4: Simplify right side
    211,111.96x = 24,665,370,751.99
  5. Step 5: Solve for x
    x = 24,665,370,751.99/211,111.96
  6. Step 6: Final answer
    x = 116,835.49

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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.