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Finding the Fourth Proportional to 85,443.72, 117,911.94 and 47,203.28

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Solution

The fourth proportional to 85,443.72, 117,911.94 and 47,203.28 is: 65,140.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,443.72 : 117,911.94 = 47,203.28 : x
  2. Step 2: Convert to fraction form
    85,443.72/117,911.94 = 47,203.28/x
  3. Step 3: Cross multiply
    85,443.72x = 117,911.94 × 47,203.28
  4. Step 4: Simplify right side
    85,443.72x = 5,565,830,319.16
  5. Step 5: Solve for x
    x = 5,565,830,319.16/85,443.72
  6. Step 6: Final answer
    x = 65,140.31

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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.