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Finding the Fourth Proportional to 159,876.56, 220,692.48 and 105,420.08

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Solution

The fourth proportional to 159,876.56, 220,692.48 and 105,420.08 is: 145,521.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,876.56 : 220,692.48 = 105,420.08 : x
  2. Step 2: Convert to fraction form
    159,876.56/220,692.48 = 105,420.08/x
  3. Step 3: Cross multiply
    159,876.56x = 220,692.48 × 105,420.08
  4. Step 4: Simplify right side
    159,876.56x = 23,265,418,897.00
  5. Step 5: Solve for x
    x = 23,265,418,897.00/159,876.56
  6. Step 6: Final answer
    x = 145,521.14

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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.