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Finding the Fourth Proportional to 105,093.63, 145,027.84 and 57,346.15

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Solution

The fourth proportional to 105,093.63, 145,027.84 and 57,346.15 is: 79,136.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,093.63 : 145,027.84 = 57,346.15 : x
  2. Step 2: Convert to fraction form
    105,093.63/145,027.84 = 57,346.15/x
  3. Step 3: Cross multiply
    105,093.63x = 145,027.84 × 57,346.15
  4. Step 4: Simplify right side
    105,093.63x = 8,316,788,266.82
  5. Step 5: Solve for x
    x = 8,316,788,266.82/105,093.63
  6. Step 6: Final answer
    x = 79,136.94

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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.