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Finding the Fourth Proportional to 86,121, 128,719.41 and 77,668.20

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Solution

The fourth proportional to 86,121, 128,719.41 and 77,668.20 is: 116,085.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,121 : 128,719.41 = 77,668.20 : x
  2. Step 2: Convert to fraction form
    86,121/128,719.41 = 77,668.20/x
  3. Step 3: Cross multiply
    86,121x = 128,719.41 × 77,668.20
  4. Step 4: Simplify right side
    86,121x = 9,997,404,879.76
  5. Step 5: Solve for x
    x = 9,997,404,879.76/86,121
  6. Step 6: Final answer
    x = 116,085.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.