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Finding the Fourth Proportional to 130,402, 179,958.60 and 70,789.84

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Solution

The fourth proportional to 130,402, 179,958.60 and 70,789.84 is: 97,692.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,402 : 179,958.60 = 70,789.84 : x
  2. Step 2: Convert to fraction form
    130,402/179,958.60 = 70,789.84/x
  3. Step 3: Cross multiply
    130,402x = 179,958.60 × 70,789.84
  4. Step 4: Simplify right side
    130,402x = 12,739,240,500.62
  5. Step 5: Solve for x
    x = 12,739,240,500.62/130,402
  6. Step 6: Final answer
    x = 97,692.06

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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.