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Finding the Fourth Proportional to 85,710.95, 128,649.35 and 41,368.92

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Solution

The fourth proportional to 85,710.95, 128,649.35 and 41,368.92 is: 62,093.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,710.95 : 128,649.35 = 41,368.92 : x
  2. Step 2: Convert to fraction form
    85,710.95/128,649.35 = 41,368.92/x
  3. Step 3: Cross multiply
    85,710.95x = 128,649.35 × 41,368.92
  4. Step 4: Simplify right side
    85,710.95x = 5,322,084,461.36
  5. Step 5: Solve for x
    x = 5,322,084,461.36/85,710.95
  6. Step 6: Final answer
    x = 62,093.41

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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.