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Finding the Fourth Proportional to 72,734, 100,374.14 and 47,583.50

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Solution

The fourth proportional to 72,734, 100,374.14 and 47,583.50 is: 65,666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,734 : 100,374.14 = 47,583.50 : x
  2. Step 2: Convert to fraction form
    72,734/100,374.14 = 47,583.50/x
  3. Step 3: Cross multiply
    72,734x = 100,374.14 × 47,583.50
  4. Step 4: Simplify right side
    72,734x = 4,776,152,890.69
  5. Step 5: Solve for x
    x = 4,776,152,890.69/72,734
  6. Step 6: Final answer
    x = 65,666.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.