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Finding the Fourth Proportional to 56,445.42, 84,707.01 and 19,509.42

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Solution

The fourth proportional to 56,445.42, 84,707.01 and 19,509.42 is: 29,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,445.42 : 84,707.01 = 19,509.42 : x
  2. Step 2: Convert to fraction form
    56,445.42/84,707.01 = 19,509.42/x
  3. Step 3: Cross multiply
    56,445.42x = 84,707.01 × 19,509.42
  4. Step 4: Simplify right side
    56,445.42x = 1,652,584,635.03
  5. Step 5: Solve for x
    x = 1,652,584,635.03/56,445.42
  6. Step 6: Final answer
    x = 29,277.57

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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.