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Finding the Fourth Proportional to 70,978.04, 97,950.40 and 39,146.64

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Solution

The fourth proportional to 70,978.04, 97,950.40 and 39,146.64 is: 54,022.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,978.04 : 97,950.40 = 39,146.64 : x
  2. Step 2: Convert to fraction form
    70,978.04/97,950.40 = 39,146.64/x
  3. Step 3: Cross multiply
    70,978.04x = 97,950.40 × 39,146.64
  4. Step 4: Simplify right side
    70,978.04x = 3,834,429,046.66
  5. Step 5: Solve for x
    x = 3,834,429,046.66/70,978.04
  6. Step 6: Final answer
    x = 54,022.75

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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.