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Finding the Fourth Proportional to 78,302.75, 108,051.30 and 44,309.48

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Solution

The fourth proportional to 78,302.75, 108,051.30 and 44,309.48 is: 61,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,302.75 : 108,051.30 = 44,309.48 : x
  2. Step 2: Convert to fraction form
    78,302.75/108,051.30 = 44,309.48/x
  3. Step 3: Cross multiply
    78,302.75x = 108,051.30 × 44,309.48
  4. Step 4: Simplify right side
    78,302.75x = 4,787,696,376.07
  5. Step 5: Solve for x
    x = 4,787,696,376.07/78,302.75
  6. Step 6: Final answer
    x = 61,143.40

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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.