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Finding the Fourth Proportional to 66,406.40, 99,638.76 and 35,234

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Solution

The fourth proportional to 66,406.40, 99,638.76 and 35,234 is: 52,866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,406.40 : 99,638.76 = 35,234 : x
  2. Step 2: Convert to fraction form
    66,406.40/99,638.76 = 35,234/x
  3. Step 3: Cross multiply
    66,406.40x = 99,638.76 × 35,234
  4. Step 4: Simplify right side
    66,406.40x = 3,510,672,069.84
  5. Step 5: Solve for x
    x = 3,510,672,069.84/66,406.40
  6. Step 6: Final answer
    x = 52,866.47

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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.