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Finding the Fourth Proportional to 139,094.48, 191,948.66 and 75,431.54

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Solution

The fourth proportional to 139,094.48, 191,948.66 and 75,431.54 is: 104,094.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,094.48 : 191,948.66 = 75,431.54 : x
  2. Step 2: Convert to fraction form
    139,094.48/191,948.66 = 75,431.54/x
  3. Step 3: Cross multiply
    139,094.48x = 191,948.66 × 75,431.54
  4. Step 4: Simplify right side
    139,094.48x = 14,478,983,024.74
  5. Step 5: Solve for x
    x = 14,478,983,024.74/139,094.48
  6. Step 6: Final answer
    x = 104,094.59

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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.