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Finding the Fourth Proportional to 70,878.42, 97,819.65 and 40,666.50

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Solution

The fourth proportional to 70,878.42, 97,819.65 and 40,666.50 is: 56,124.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,878.42 : 97,819.65 = 40,666.50 : x
  2. Step 2: Convert to fraction form
    70,878.42/97,819.65 = 40,666.50/x
  3. Step 3: Cross multiply
    70,878.42x = 97,819.65 × 40,666.50
  4. Step 4: Simplify right side
    70,878.42x = 3,977,982,796.73
  5. Step 5: Solve for x
    x = 3,977,982,796.73/70,878.42
  6. Step 6: Final answer
    x = 56,124.03

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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.