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Finding the Fourth Proportional to 78,308.49, 108,155.43 and 51,570.51

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Solution

The fourth proportional to 78,308.49, 108,155.43 and 51,570.51 is: 71,226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,308.49 : 108,155.43 = 51,570.51 : x
  2. Step 2: Convert to fraction form
    78,308.49/108,155.43 = 51,570.51/x
  3. Step 3: Cross multiply
    78,308.49x = 108,155.43 × 51,570.51
  4. Step 4: Simplify right side
    78,308.49x = 5,577,630,684.37
  5. Step 5: Solve for x
    x = 5,577,630,684.37/78,308.49
  6. Step 6: Final answer
    x = 71,226.39

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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.