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Finding the Fourth Proportional to 86,334, 129,457.62 and 50,322.06

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Solution

The fourth proportional to 86,334, 129,457.62 and 50,322.06 is: 75,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,334 : 129,457.62 = 50,322.06 : x
  2. Step 2: Convert to fraction form
    86,334/129,457.62 = 50,322.06/x
  3. Step 3: Cross multiply
    86,334x = 129,457.62 × 50,322.06
  4. Step 4: Simplify right side
    86,334x = 6,514,574,121.10
  5. Step 5: Solve for x
    x = 6,514,574,121.10/86,334
  6. Step 6: Final answer
    x = 75,457.80

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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.