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Finding the Fourth Proportional to 254,668.16, 382,041.80 and 77,132.90

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Solution

The fourth proportional to 254,668.16, 382,041.80 and 77,132.90 is: 115,711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,668.16 : 382,041.80 = 77,132.90 : x
  2. Step 2: Convert to fraction form
    254,668.16/382,041.80 = 77,132.90/x
  3. Step 3: Cross multiply
    254,668.16x = 382,041.80 × 77,132.90
  4. Step 4: Simplify right side
    254,668.16x = 29,467,991,955.22
  5. Step 5: Solve for x
    x = 29,467,991,955.22/254,668.16
  6. Step 6: Final answer
    x = 115,711.33

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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.