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Finding the Fourth Proportional to 256,643.07, 385,030.14 and 106,833.57

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Solution

The fourth proportional to 256,643.07, 385,030.14 and 106,833.57 is: 160,277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,643.07 : 385,030.14 = 106,833.57 : x
  2. Step 2: Convert to fraction form
    256,643.07/385,030.14 = 106,833.57/x
  3. Step 3: Cross multiply
    256,643.07x = 385,030.14 × 106,833.57
  4. Step 4: Simplify right side
    256,643.07x = 41,134,144,413.80
  5. Step 5: Solve for x
    x = 41,134,144,413.80/256,643.07
  6. Step 6: Final answer
    x = 160,277.64

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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.