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Finding the Fourth Proportional to 282,783.80, 424,029.90 and 105,199.40

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Solution

The fourth proportional to 282,783.80, 424,029.90 and 105,199.40 is: 157,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,783.80 : 424,029.90 = 105,199.40 : x
  2. Step 2: Convert to fraction form
    282,783.80/424,029.90 = 105,199.40/x
  3. Step 3: Cross multiply
    282,783.80x = 424,029.90 × 105,199.40
  4. Step 4: Simplify right side
    282,783.80x = 44,607,691,062.06
  5. Step 5: Solve for x
    x = 44,607,691,062.06/282,783.80
  6. Step 6: Final answer
    x = 157,744.86

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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.