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Finding the Fourth Proportional to 106,692.46, 147,110.70 and 72,721.06

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Solution

The fourth proportional to 106,692.46, 147,110.70 and 72,721.06 is: 100,269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,692.46 : 147,110.70 = 72,721.06 : x
  2. Step 2: Convert to fraction form
    106,692.46/147,110.70 = 72,721.06/x
  3. Step 3: Cross multiply
    106,692.46x = 147,110.70 × 72,721.06
  4. Step 4: Simplify right side
    106,692.46x = 10,698,046,041.34
  5. Step 5: Solve for x
    x = 10,698,046,041.34/106,692.46
  6. Step 6: Final answer
    x = 100,269.94

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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.