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Finding the Fourth Proportional to 66,590.51, 99,934.90 and 31,530.11

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Solution

The fourth proportional to 66,590.51, 99,934.90 and 31,530.11 is: 47,318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,590.51 : 99,934.90 = 31,530.11 : x
  2. Step 2: Convert to fraction form
    66,590.51/99,934.90 = 31,530.11/x
  3. Step 3: Cross multiply
    66,590.51x = 99,934.90 × 31,530.11
  4. Step 4: Simplify right side
    66,590.51x = 3,150,957,811.34
  5. Step 5: Solve for x
    x = 3,150,957,811.34/66,590.51
  6. Step 6: Final answer
    x = 47,318.42

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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.