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Finding the Fourth Proportional to 58,969.40, 81,457.37 and 47,115.86

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Solution

The fourth proportional to 58,969.40, 81,457.37 and 47,115.86 is: 65,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,969.40 : 81,457.37 = 47,115.86 : x
  2. Step 2: Convert to fraction form
    58,969.40/81,457.37 = 47,115.86/x
  3. Step 3: Cross multiply
    58,969.40x = 81,457.37 × 47,115.86
  4. Step 4: Simplify right side
    58,969.40x = 3,837,934,040.89
  5. Step 5: Solve for x
    x = 3,837,934,040.89/58,969.40
  6. Step 6: Final answer
    x = 65,083.48

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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.