Home / 75,810.06-113,724-31,431.24

Finding the Fourth Proportional to 75,810.06, 113,724 and 31,431.24

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Solution

The fourth proportional to 75,810.06, 113,724 and 31,431.24 is: 47,150.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,810.06 : 113,724 = 31,431.24 : x
  2. Step 2: Convert to fraction form
    75,810.06/113,724 = 31,431.24/x
  3. Step 3: Cross multiply
    75,810.06x = 113,724 × 31,431.24
  4. Step 4: Simplify right side
    75,810.06x = 3,574,486,337.76
  5. Step 5: Solve for x
    x = 3,574,486,337.76/75,810.06
  6. Step 6: Final answer
    x = 47,150.55

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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.