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Finding the Fourth Proportional to 84,068.96, 126,106.08 and 31,468.40

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Solution

The fourth proportional to 84,068.96, 126,106.08 and 31,468.40 is: 47,203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,068.96 : 126,106.08 = 31,468.40 : x
  2. Step 2: Convert to fraction form
    84,068.96/126,106.08 = 31,468.40/x
  3. Step 3: Cross multiply
    84,068.96x = 126,106.08 × 31,468.40
  4. Step 4: Simplify right side
    84,068.96x = 3,968,356,567.87
  5. Step 5: Solve for x
    x = 3,968,356,567.87/84,068.96
  6. Step 6: Final answer
    x = 47,203.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.