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Finding the Fourth Proportional to 57,381.77, 86,070.29 and 19,950.32

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Solution

The fourth proportional to 57,381.77, 86,070.29 and 19,950.32 is: 29,924.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,381.77 : 86,070.29 = 19,950.32 : x
  2. Step 2: Convert to fraction form
    57,381.77/86,070.29 = 19,950.32/x
  3. Step 3: Cross multiply
    57,381.77x = 86,070.29 × 19,950.32
  4. Step 4: Simplify right side
    57,381.77x = 1,717,129,297.89
  5. Step 5: Solve for x
    x = 1,717,129,297.89/57,381.77
  6. Step 6: Final answer
    x = 29,924.65

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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.