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Finding the Fourth Proportional to 82,920.36, 114,430.13 and 47,110.43

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Solution

The fourth proportional to 82,920.36, 114,430.13 and 47,110.43 is: 65,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,920.36 : 114,430.13 = 47,110.43 : x
  2. Step 2: Convert to fraction form
    82,920.36/114,430.13 = 47,110.43/x
  3. Step 3: Cross multiply
    82,920.36x = 114,430.13 × 47,110.43
  4. Step 4: Simplify right side
    82,920.36x = 5,390,851,821.55
  5. Step 5: Solve for x
    x = 5,390,851,821.55/82,920.36
  6. Step 6: Final answer
    x = 65,012.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.