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Finding the Fourth Proportional to 70,863, 97,782.42 and 40,646.76

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Solution

The fourth proportional to 70,863, 97,782.42 and 40,646.76 is: 56,087.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,863 : 97,782.42 = 40,646.76 : x
  2. Step 2: Convert to fraction form
    70,863/97,782.42 = 40,646.76/x
  3. Step 3: Cross multiply
    70,863x = 97,782.42 × 40,646.76
  4. Step 4: Simplify right side
    70,863x = 3,974,538,557.96
  5. Step 5: Solve for x
    x = 3,974,538,557.96/70,863
  6. Step 6: Final answer
    x = 56,087.64

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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.