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Finding the Fourth Proportional to 105,211.68, 157,723.68 and 38,636.64

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Solution

The fourth proportional to 105,211.68, 157,723.68 and 38,636.64 is: 57,920.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,211.68 : 157,723.68 = 38,636.64 : x
  2. Step 2: Convert to fraction form
    105,211.68/157,723.68 = 38,636.64/x
  3. Step 3: Cross multiply
    105,211.68x = 157,723.68 × 38,636.64
  4. Step 4: Simplify right side
    105,211.68x = 6,093,913,043.64
  5. Step 5: Solve for x
    x = 6,093,913,043.64/105,211.68
  6. Step 6: Final answer
    x = 57,920.50

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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.