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Finding the Fourth Proportional to 78,965.84, 108,973.14 and 43,155.84

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Solution

The fourth proportional to 78,965.84, 108,973.14 and 43,155.84 is: 59,555.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,965.84 : 108,973.14 = 43,155.84 : x
  2. Step 2: Convert to fraction form
    78,965.84/108,973.14 = 43,155.84/x
  3. Step 3: Cross multiply
    78,965.84x = 108,973.14 × 43,155.84
  4. Step 4: Simplify right side
    78,965.84x = 4,702,827,394.14
  5. Step 5: Solve for x
    x = 4,702,827,394.14/78,965.84
  6. Step 6: Final answer
    x = 59,555.21

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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.