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Finding the Fourth Proportional to 70,402.72, 105,604.31 and 17,812.20

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Solution

The fourth proportional to 70,402.72, 105,604.31 and 17,812.20 is: 26,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,402.72 : 105,604.31 = 17,812.20 : x
  2. Step 2: Convert to fraction form
    70,402.72/105,604.31 = 17,812.20/x
  3. Step 3: Cross multiply
    70,402.72x = 105,604.31 × 17,812.20
  4. Step 4: Simplify right side
    70,402.72x = 1,881,045,430.94
  5. Step 5: Solve for x
    x = 1,881,045,430.94/70,402.72
  6. Step 6: Final answer
    x = 26,718.36

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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.