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Finding the Fourth Proportional to 75,671.89, 113,328.01 and 38,113.81

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Solution

The fourth proportional to 75,671.89, 113,328.01 and 38,113.81 is: 57,080.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,671.89 : 113,328.01 = 38,113.81 : x
  2. Step 2: Convert to fraction form
    75,671.89/113,328.01 = 38,113.81/x
  3. Step 3: Cross multiply
    75,671.89x = 113,328.01 × 38,113.81
  4. Step 4: Simplify right side
    75,671.89x = 4,319,362,240.82
  5. Step 5: Solve for x
    x = 4,319,362,240.82/75,671.89
  6. Step 6: Final answer
    x = 57,080.14

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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.