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Finding the Fourth Proportional to 66,741.94, 92,094.78 and 39,878.77

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Solution

The fourth proportional to 66,741.94, 92,094.78 and 39,878.77 is: 55,027.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,741.94 : 92,094.78 = 39,878.77 : x
  2. Step 2: Convert to fraction form
    66,741.94/92,094.78 = 39,878.77/x
  3. Step 3: Cross multiply
    66,741.94x = 92,094.78 × 39,878.77
  4. Step 4: Simplify right side
    66,741.94x = 3,672,626,549.82
  5. Step 5: Solve for x
    x = 3,672,626,549.82/66,741.94
  6. Step 6: Final answer
    x = 55,027.27

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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.