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Finding the Fourth Proportional to 106,693.46, 147,112.08 and 72,722.06

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Solution

The fourth proportional to 106,693.46, 147,112.08 and 72,722.06 is: 100,271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,693.46 : 147,112.08 = 72,722.06 : x
  2. Step 2: Convert to fraction form
    106,693.46/147,112.08 = 72,722.06/x
  3. Step 3: Cross multiply
    106,693.46x = 147,112.08 × 72,722.06
  4. Step 4: Simplify right side
    106,693.46x = 10,698,293,508.48
  5. Step 5: Solve for x
    x = 10,698,293,508.48/106,693.46
  6. Step 6: Final answer
    x = 100,271.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.