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Finding the Fourth Proportional to 65,818.86, 90,733.05 and 46,639.38

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Solution

The fourth proportional to 65,818.86, 90,733.05 and 46,639.38 is: 64,293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,818.86 : 90,733.05 = 46,639.38 : x
  2. Step 2: Convert to fraction form
    65,818.86/90,733.05 = 46,639.38/x
  3. Step 3: Cross multiply
    65,818.86x = 90,733.05 × 46,639.38
  4. Step 4: Simplify right side
    65,818.86x = 4,231,733,197.51
  5. Step 5: Solve for x
    x = 4,231,733,197.51/65,818.86
  6. Step 6: Final answer
    x = 64,293.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.