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Finding the Fourth Proportional to 170,114.63, 255,208.82 and 51,782.87

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Solution

The fourth proportional to 170,114.63, 255,208.82 and 51,782.87 is: 77,685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,114.63 : 255,208.82 = 51,782.87 : x
  2. Step 2: Convert to fraction form
    170,114.63/255,208.82 = 51,782.87/x
  3. Step 3: Cross multiply
    170,114.63x = 255,208.82 × 51,782.87
  4. Step 4: Simplify right side
    170,114.63x = 13,215,445,528.02
  5. Step 5: Solve for x
    x = 13,215,445,528.02/170,114.63
  6. Step 6: Final answer
    x = 77,685.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.