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Finding the Fourth Proportional to 86,135.16, 118,866.63 and 47,894.30

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Solution

The fourth proportional to 86,135.16, 118,866.63 and 47,894.30 is: 66,094.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,135.16 : 118,866.63 = 47,894.30 : x
  2. Step 2: Convert to fraction form
    86,135.16/118,866.63 = 47,894.30/x
  3. Step 3: Cross multiply
    86,135.16x = 118,866.63 × 47,894.30
  4. Step 4: Simplify right side
    86,135.16x = 5,693,034,037.21
  5. Step 5: Solve for x
    x = 5,693,034,037.21/86,135.16
  6. Step 6: Final answer
    x = 66,094.19

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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.