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Finding the Fourth Proportional to 70,513.75, 97,311.86 and 40,705.75

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Solution

The fourth proportional to 70,513.75, 97,311.86 and 40,705.75 is: 56,175.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,513.75 : 97,311.86 = 40,705.75 : x
  2. Step 2: Convert to fraction form
    70,513.75/97,311.86 = 40,705.75/x
  3. Step 3: Cross multiply
    70,513.75x = 97,311.86 × 40,705.75
  4. Step 4: Simplify right side
    70,513.75x = 3,961,152,041.67
  5. Step 5: Solve for x
    x = 3,961,152,041.67/70,513.75
  6. Step 6: Final answer
    x = 56,175.60

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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.