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Finding the Fourth Proportional to 100,733.64, 139,022.61 and 57,718.83

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Solution

The fourth proportional to 100,733.64, 139,022.61 and 57,718.83 is: 79,657.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,733.64 : 139,022.61 = 57,718.83 : x
  2. Step 2: Convert to fraction form
    100,733.64/139,022.61 = 57,718.83/x
  3. Step 3: Cross multiply
    100,733.64x = 139,022.61 × 57,718.83
  4. Step 4: Simplify right side
    100,733.64x = 8,024,222,392.75
  5. Step 5: Solve for x
    x = 8,024,222,392.75/100,733.64
  6. Step 6: Final answer
    x = 79,657.82

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1.5x scale

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.