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Finding the Fourth Proportional to 120,424.84, 180,643.02 and 58,147.72

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Solution

The fourth proportional to 120,424.84, 180,643.02 and 58,147.72 is: 87,224.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,424.84 : 180,643.02 = 58,147.72 : x
  2. Step 2: Convert to fraction form
    120,424.84/180,643.02 = 58,147.72/x
  3. Step 3: Cross multiply
    120,424.84x = 180,643.02 × 58,147.72
  4. Step 4: Simplify right side
    120,424.84x = 10,503,979,746.91
  5. Step 5: Solve for x
    x = 10,503,979,746.91/120,424.84
  6. Step 6: Final answer
    x = 87,224.36

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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.