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Finding the Fourth Proportional to 78,823.84, 108,776.40 and 43,013.12

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Solution

The fourth proportional to 78,823.84, 108,776.40 and 43,013.12 is: 59,357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,823.84 : 108,776.40 = 43,013.12 : x
  2. Step 2: Convert to fraction form
    78,823.84/108,776.40 = 43,013.12/x
  3. Step 3: Cross multiply
    78,823.84x = 108,776.40 × 43,013.12
  4. Step 4: Simplify right side
    78,823.84x = 4,678,812,346.37
  5. Step 5: Solve for x
    x = 4,678,812,346.37/78,823.84
  6. Step 6: Final answer
    x = 59,357.83

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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.