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Finding the Fourth Proportional to 158,692.89, 219,057.16 and 107,728.40

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Solution

The fourth proportional to 158,692.89, 219,057.16 and 107,728.40 is: 148,706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,692.89 : 219,057.16 = 107,728.40 : x
  2. Step 2: Convert to fraction form
    158,692.89/219,057.16 = 107,728.40/x
  3. Step 3: Cross multiply
    158,692.89x = 219,057.16 × 107,728.40
  4. Step 4: Simplify right side
    158,692.89x = 23,598,676,603.46
  5. Step 5: Solve for x
    x = 23,598,676,603.46/158,692.89
  6. Step 6: Final answer
    x = 148,706.58

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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.