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Finding the Fourth Proportional to 102,855.86, 142,028.69 and 64,679.29

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Solution

The fourth proportional to 102,855.86, 142,028.69 and 64,679.29 is: 89,312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,855.86 : 142,028.69 = 64,679.29 : x
  2. Step 2: Convert to fraction form
    102,855.86/142,028.69 = 64,679.29/x
  3. Step 3: Cross multiply
    102,855.86x = 142,028.69 × 64,679.29
  4. Step 4: Simplify right side
    102,855.86x = 9,186,315,313.09
  5. Step 5: Solve for x
    x = 9,186,315,313.09/102,855.86
  6. Step 6: Final answer
    x = 89,312.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.