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Finding the Fourth Proportional to 71,707.34, 98,938.05 and 43,407.56

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Solution

The fourth proportional to 71,707.34, 98,938.05 and 43,407.56 is: 59,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,707.34 : 98,938.05 = 43,407.56 : x
  2. Step 2: Convert to fraction form
    71,707.34/98,938.05 = 43,407.56/x
  3. Step 3: Cross multiply
    71,707.34x = 98,938.05 × 43,407.56
  4. Step 4: Simplify right side
    71,707.34x = 4,294,659,341.66
  5. Step 5: Solve for x
    x = 4,294,659,341.66/71,707.34
  6. Step 6: Final answer
    x = 59,891.49

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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.