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Finding the Fourth Proportional to 282,572.80, 423,705.60 and 105,072.64

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Solution

The fourth proportional to 282,572.80, 423,705.60 and 105,072.64 is: 157,551.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,572.80 : 423,705.60 = 105,072.64 : x
  2. Step 2: Convert to fraction form
    282,572.80/423,705.60 = 105,072.64/x
  3. Step 3: Cross multiply
    282,572.80x = 423,705.60 × 105,072.64
  4. Step 4: Simplify right side
    282,572.80x = 44,519,865,974.78
  5. Step 5: Solve for x
    x = 44,519,865,974.78/282,572.80
  6. Step 6: Final answer
    x = 157,551.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.