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Finding the Fourth Proportional to 126,345.78, 174,343.05 and 69,742.98

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Solution

The fourth proportional to 126,345.78, 174,343.05 and 69,742.98 is: 96,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,345.78 : 174,343.05 = 69,742.98 : x
  2. Step 2: Convert to fraction form
    126,345.78/174,343.05 = 69,742.98/x
  3. Step 3: Cross multiply
    126,345.78x = 174,343.05 × 69,742.98
  4. Step 4: Simplify right side
    126,345.78x = 12,159,203,849.29
  5. Step 5: Solve for x
    x = 12,159,203,849.29/126,345.78
  6. Step 6: Final answer
    x = 96,237.51

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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.