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Finding the Fourth Proportional to 101,903.47, 152,716.21 and 38,689.74

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Solution

The fourth proportional to 101,903.47, 152,716.21 and 38,689.74 is: 57,981.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,903.47 : 152,716.21 = 38,689.74 : x
  2. Step 2: Convert to fraction form
    101,903.47/152,716.21 = 38,689.74/x
  3. Step 3: Cross multiply
    101,903.47x = 152,716.21 × 38,689.74
  4. Step 4: Simplify right side
    101,903.47x = 5,908,550,361.96
  5. Step 5: Solve for x
    x = 5,908,550,361.96/101,903.47
  6. Step 6: Final answer
    x = 57,981.84

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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.