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Finding the Fourth Proportional to 120,473.87, 180,658.35 and 64,301.45

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Solution

The fourth proportional to 120,473.87, 180,658.35 and 64,301.45 is: 96,424.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,473.87 : 180,658.35 = 64,301.45 : x
  2. Step 2: Convert to fraction form
    120,473.87/180,658.35 = 64,301.45/x
  3. Step 3: Cross multiply
    120,473.87x = 180,658.35 × 64,301.45
  4. Step 4: Simplify right side
    120,473.87x = 11,616,592,956.32
  5. Step 5: Solve for x
    x = 11,616,592,956.32/120,473.87
  6. Step 6: Final answer
    x = 96,424.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.