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Finding the Fourth Proportional to 139,024, 191,852.04 and 75,360.16

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Solution

The fourth proportional to 139,024, 191,852.04 and 75,360.16 is: 103,996.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,024 : 191,852.04 = 75,360.16 : x
  2. Step 2: Convert to fraction form
    139,024/191,852.04 = 75,360.16/x
  3. Step 3: Cross multiply
    139,024x = 191,852.04 × 75,360.16
  4. Step 4: Simplify right side
    139,024x = 14,458,000,430.73
  5. Step 5: Solve for x
    x = 14,458,000,430.73/139,024
  6. Step 6: Final answer
    x = 103,996.44

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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.