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Finding the Fourth Proportional to 140,690.70, 194,154.30 and 77,029.02

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Solution

The fourth proportional to 140,690.70, 194,154.30 and 77,029.02 is: 106,300.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,690.70 : 194,154.30 = 77,029.02 : x
  2. Step 2: Convert to fraction form
    140,690.70/194,154.30 = 77,029.02/x
  3. Step 3: Cross multiply
    140,690.70x = 194,154.30 × 77,029.02
  4. Step 4: Simplify right side
    140,690.70x = 14,955,515,457.79
  5. Step 5: Solve for x
    x = 14,955,515,457.79/140,690.70
  6. Step 6: Final answer
    x = 106,300.67

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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.