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Finding the Fourth Proportional to 50,666.04, 75,958.02 and 21,106

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Solution

The fourth proportional to 50,666.04, 75,958.02 and 21,106 is: 31,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,666.04 : 75,958.02 = 21,106 : x
  2. Step 2: Convert to fraction form
    50,666.04/75,958.02 = 21,106/x
  3. Step 3: Cross multiply
    50,666.04x = 75,958.02 × 21,106
  4. Step 4: Simplify right side
    50,666.04x = 1,603,169,970.12
  5. Step 5: Solve for x
    x = 1,603,169,970.12/50,666.04
  6. Step 6: Final answer
    x = 31,641.90

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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.