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Finding the Fourth Proportional to 76,507.17, 114,779.22 and 26,580

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Solution

The fourth proportional to 76,507.17, 114,779.22 and 26,580 is: 39,876.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,507.17 : 114,779.22 = 26,580 : x
  2. Step 2: Convert to fraction form
    76,507.17/114,779.22 = 26,580/x
  3. Step 3: Cross multiply
    76,507.17x = 114,779.22 × 26,580
  4. Step 4: Simplify right side
    76,507.17x = 3,050,831,667.60
  5. Step 5: Solve for x
    x = 3,050,831,667.60/76,507.17
  6. Step 6: Final answer
    x = 39,876.42

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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.