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Finding the Fourth Proportional to 126,547.76, 189,430.68 and 69,478.94

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Solution

The fourth proportional to 126,547.76, 189,430.68 and 69,478.94 is: 104,003.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,547.76 : 189,430.68 = 69,478.94 : x
  2. Step 2: Convert to fraction form
    126,547.76/189,430.68 = 69,478.94/x
  3. Step 3: Cross multiply
    126,547.76x = 189,430.68 × 69,478.94
  4. Step 4: Simplify right side
    126,547.76x = 13,161,442,849.88
  5. Step 5: Solve for x
    x = 13,161,442,849.88/126,547.76
  6. Step 6: Final answer
    x = 104,003.76

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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.