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Finding the Fourth Proportional to 56,189.44, 77,530 and 35,779.72

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Solution

The fourth proportional to 56,189.44, 77,530 and 35,779.72 is: 49,368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,189.44 : 77,530 = 35,779.72 : x
  2. Step 2: Convert to fraction form
    56,189.44/77,530 = 35,779.72/x
  3. Step 3: Cross multiply
    56,189.44x = 77,530 × 35,779.72
  4. Step 4: Simplify right side
    56,189.44x = 2,774,001,691.60
  5. Step 5: Solve for x
    x = 2,774,001,691.60/56,189.44
  6. Step 6: Final answer
    x = 49,368.74

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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.