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Finding the Fourth Proportional to 99,713.78, 149,445.94 and 49,807.81

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Solution

The fourth proportional to 99,713.78, 149,445.94 and 49,807.81 is: 74,649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,713.78 : 149,445.94 = 49,807.81 : x
  2. Step 2: Convert to fraction form
    99,713.78/149,445.94 = 49,807.81/x
  3. Step 3: Cross multiply
    99,713.78x = 149,445.94 × 49,807.81
  4. Step 4: Simplify right side
    99,713.78x = 7,443,574,984.79
  5. Step 5: Solve for x
    x = 7,443,574,984.79/99,713.78
  6. Step 6: Final answer
    x = 74,649.41

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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.