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Finding the Fourth Proportional to 58,140, 87,241.50 and 45,018

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Solution

The fourth proportional to 58,140, 87,241.50 and 45,018 is: 67,551.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,140 : 87,241.50 = 45,018 : x
  2. Step 2: Convert to fraction form
    58,140/87,241.50 = 45,018/x
  3. Step 3: Cross multiply
    58,140x = 87,241.50 × 45,018
  4. Step 4: Simplify right side
    58,140x = 3,927,437,847
  5. Step 5: Solve for x
    x = 3,927,437,847/58,140
  6. Step 6: Final answer
    x = 67,551.39

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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.