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Finding the Fourth Proportional to 70,878.08, 97,825.88 and 40,683.80

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Solution

The fourth proportional to 70,878.08, 97,825.88 and 40,683.80 is: 56,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,878.08 : 97,825.88 = 40,683.80 : x
  2. Step 2: Convert to fraction form
    70,878.08/97,825.88 = 40,683.80/x
  3. Step 3: Cross multiply
    70,878.08x = 97,825.88 × 40,683.80
  4. Step 4: Simplify right side
    70,878.08x = 3,979,928,536.74
  5. Step 5: Solve for x
    x = 3,979,928,536.74/70,878.08
  6. Step 6: Final answer
    x = 56,151.75

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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.