Home / 109,829.40-164,751.30-30,946.20

Finding the Fourth Proportional to 109,829.40, 164,751.30 and 30,946.20

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Solution

The fourth proportional to 109,829.40, 164,751.30 and 30,946.20 is: 46,421.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,829.40 : 164,751.30 = 30,946.20 : x
  2. Step 2: Convert to fraction form
    109,829.40/164,751.30 = 30,946.20/x
  3. Step 3: Cross multiply
    109,829.40x = 164,751.30 × 30,946.20
  4. Step 4: Simplify right side
    109,829.40x = 5,098,426,680.06
  5. Step 5: Solve for x
    x = 5,098,426,680.06/109,829.40
  6. Step 6: Final answer
    x = 46,421.33

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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.