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Finding the Fourth Proportional to 109,703.20, 164,554.80 and 30,830.80

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Solution

The fourth proportional to 109,703.20, 164,554.80 and 30,830.80 is: 46,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,703.20 : 164,554.80 = 30,830.80 : x
  2. Step 2: Convert to fraction form
    109,703.20/164,554.80 = 30,830.80/x
  3. Step 3: Cross multiply
    109,703.20x = 164,554.80 × 30,830.80
  4. Step 4: Simplify right side
    109,703.20x = 5,073,356,127.84
  5. Step 5: Solve for x
    x = 5,073,356,127.84/109,703.20
  6. Step 6: Final answer
    x = 46,246.20

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1.5x scale

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.