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Finding the Fourth Proportional to 78,428.84, 108,232.80 and 42,619.40

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Solution

The fourth proportional to 78,428.84, 108,232.80 and 42,619.40 is: 58,815.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,428.84 : 108,232.80 = 42,619.40 : x
  2. Step 2: Convert to fraction form
    78,428.84/108,232.80 = 42,619.40/x
  3. Step 3: Cross multiply
    78,428.84x = 108,232.80 × 42,619.40
  4. Step 4: Simplify right side
    78,428.84x = 4,612,816,996.32
  5. Step 5: Solve for x
    x = 4,612,816,996.32/78,428.84
  6. Step 6: Final answer
    x = 58,815.32

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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.