Home / 109,880.24-164,802.74-31,000

Finding the Fourth Proportional to 109,880.24, 164,802.74 and 31,000

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Solution

The fourth proportional to 109,880.24, 164,802.74 and 31,000 is: 46,495.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,880.24 : 164,802.74 = 31,000 : x
  2. Step 2: Convert to fraction form
    109,880.24/164,802.74 = 31,000/x
  3. Step 3: Cross multiply
    109,880.24x = 164,802.74 × 31,000
  4. Step 4: Simplify right side
    109,880.24x = 5,108,884,940
  5. Step 5: Solve for x
    x = 5,108,884,940/109,880.24
  6. Step 6: Final answer
    x = 46,495.03

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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.