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Finding the Fourth Proportional to 282,835.86, 424,253.65 and 83,157.90

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Solution

The fourth proportional to 282,835.86, 424,253.65 and 83,157.90 is: 124,736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,835.86 : 424,253.65 = 83,157.90 : x
  2. Step 2: Convert to fraction form
    282,835.86/424,253.65 = 83,157.90/x
  3. Step 3: Cross multiply
    282,835.86x = 424,253.65 × 83,157.90
  4. Step 4: Simplify right side
    282,835.86x = 35,280,042,601.34
  5. Step 5: Solve for x
    x = 35,280,042,601.34/282,835.86
  6. Step 6: Final answer
    x = 124,736.81

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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.