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Finding the Fourth Proportional to 86,050.64, 118,751.36 and 47,813.64

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Solution

The fourth proportional to 86,050.64, 118,751.36 and 47,813.64 is: 65,983.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,050.64 : 118,751.36 = 47,813.64 : x
  2. Step 2: Convert to fraction form
    86,050.64/118,751.36 = 47,813.64/x
  3. Step 3: Cross multiply
    86,050.64x = 118,751.36 × 47,813.64
  4. Step 4: Simplify right side
    86,050.64x = 5,677,934,776.55
  5. Step 5: Solve for x
    x = 5,677,934,776.55/86,050.64
  6. Step 6: Final answer
    x = 65,983.64

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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.