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Finding the Fourth Proportional to 71,640.81, 98,795.19 and 47,430.72

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Solution

The fourth proportional to 71,640.81, 98,795.19 and 47,430.72 is: 65,408.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,640.81 : 98,795.19 = 47,430.72 : x
  2. Step 2: Convert to fraction form
    71,640.81/98,795.19 = 47,430.72/x
  3. Step 3: Cross multiply
    71,640.81x = 98,795.19 × 47,430.72
  4. Step 4: Simplify right side
    71,640.81x = 4,685,926,994.24
  5. Step 5: Solve for x
    x = 4,685,926,994.24/71,640.81
  6. Step 6: Final answer
    x = 65,408.63

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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.