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Finding the Fourth Proportional to 86,120, 118,842.30 and 47,881.88

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Solution

The fourth proportional to 86,120, 118,842.30 and 47,881.88 is: 66,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,120 : 118,842.30 = 47,881.88 : x
  2. Step 2: Convert to fraction form
    86,120/118,842.30 = 47,881.88/x
  3. Step 3: Cross multiply
    86,120x = 118,842.30 × 47,881.88
  4. Step 4: Simplify right side
    86,120x = 5,690,392,747.52
  5. Step 5: Solve for x
    x = 5,690,392,747.52/86,120
  6. Step 6: Final answer
    x = 66,075.16

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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.