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Finding the Fourth Proportional to 82,430.91, 113,712.80 and 52,165.23

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Solution

The fourth proportional to 82,430.91, 113,712.80 and 52,165.23 is: 71,961.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,430.91 : 113,712.80 = 52,165.23 : x
  2. Step 2: Convert to fraction form
    82,430.91/113,712.80 = 52,165.23/x
  3. Step 3: Cross multiply
    82,430.91x = 113,712.80 × 52,165.23
  4. Step 4: Simplify right side
    82,430.91x = 5,931,854,105.12
  5. Step 5: Solve for x
    x = 5,931,854,105.12/82,430.91
  6. Step 6: Final answer
    x = 71,961.53

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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.