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Finding the Fourth Proportional to 57,019.77, 85,539.93 and 19,570.17

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Solution

The fourth proportional to 57,019.77, 85,539.93 and 19,570.17 is: 29,358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,019.77 : 85,539.93 = 19,570.17 : x
  2. Step 2: Convert to fraction form
    57,019.77/85,539.93 = 19,570.17/x
  3. Step 3: Cross multiply
    57,019.77x = 85,539.93 × 19,570.17
  4. Step 4: Simplify right side
    57,019.77x = 1,674,030,971.89
  5. Step 5: Solve for x
    x = 1,674,030,971.89/57,019.77
  6. Step 6: Final answer
    x = 29,358.78

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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.