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Finding the Fourth Proportional to 75,902.40, 113,853.60 and 70,718.40

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Solution

The fourth proportional to 75,902.40, 113,853.60 and 70,718.40 is: 106,077.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,902.40 : 113,853.60 = 70,718.40 : x
  2. Step 2: Convert to fraction form
    75,902.40/113,853.60 = 70,718.40/x
  3. Step 3: Cross multiply
    75,902.40x = 113,853.60 × 70,718.40
  4. Step 4: Simplify right side
    75,902.40x = 8,051,544,426.24
  5. Step 5: Solve for x
    x = 8,051,544,426.24/75,902.40
  6. Step 6: Final answer
    x = 106,077.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.