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Finding the Fourth Proportional to 75,415.40, 104,077.88 and 41,881.40

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Solution

The fourth proportional to 75,415.40, 104,077.88 and 41,881.40 is: 57,798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,415.40 : 104,077.88 = 41,881.40 : x
  2. Step 2: Convert to fraction form
    75,415.40/104,077.88 = 41,881.40/x
  3. Step 3: Cross multiply
    75,415.40x = 104,077.88 × 41,881.40
  4. Step 4: Simplify right side
    75,415.40x = 4,358,927,323.43
  5. Step 5: Solve for x
    x = 4,358,927,323.43/75,415.40
  6. Step 6: Final answer
    x = 57,798.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.