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Finding the Fourth Proportional to 70,853.40, 97,768.62 and 40,643.64

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Solution

The fourth proportional to 70,853.40, 97,768.62 and 40,643.64 is: 56,083.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,853.40 : 97,768.62 = 40,643.64 : x
  2. Step 2: Convert to fraction form
    70,853.40/97,768.62 = 40,643.64/x
  3. Step 3: Cross multiply
    70,853.40x = 97,768.62 × 40,643.64
  4. Step 4: Simplify right side
    70,853.40x = 3,973,672,594.58
  5. Step 5: Solve for x
    x = 3,973,672,594.58/70,853.40
  6. Step 6: Final answer
    x = 56,083.02

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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.