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Finding the Fourth Proportional to 86,085.68, 129,154.44 and 30,686

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Solution

The fourth proportional to 86,085.68, 129,154.44 and 30,686 is: 46,038.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,085.68 : 129,154.44 = 30,686 : x
  2. Step 2: Convert to fraction form
    86,085.68/129,154.44 = 30,686/x
  3. Step 3: Cross multiply
    86,085.68x = 129,154.44 × 30,686
  4. Step 4: Simplify right side
    86,085.68x = 3,963,233,145.84
  5. Step 5: Solve for x
    x = 3,963,233,145.84/86,085.68
  6. Step 6: Final answer
    x = 46,038.24

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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.