Home / 75,432.84-113,106-31,090.20

Finding the Fourth Proportional to 75,432.84, 113,106 and 31,090.20

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Solution

The fourth proportional to 75,432.84, 113,106 and 31,090.20 is: 46,617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,432.84 : 113,106 = 31,090.20 : x
  2. Step 2: Convert to fraction form
    75,432.84/113,106 = 31,090.20/x
  3. Step 3: Cross multiply
    75,432.84x = 113,106 × 31,090.20
  4. Step 4: Simplify right side
    75,432.84x = 3,516,488,161.20
  5. Step 5: Solve for x
    x = 3,516,488,161.20/75,432.84
  6. Step 6: Final answer
    x = 46,617.47

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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.