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Finding the Fourth Proportional to 190,113.40, 285,063.90 and 77,871.88

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Solution

The fourth proportional to 190,113.40, 285,063.90 and 77,871.88 is: 116,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,113.40 : 285,063.90 = 77,871.88 : x
  2. Step 2: Convert to fraction form
    190,113.40/285,063.90 = 77,871.88/x
  3. Step 3: Cross multiply
    190,113.40x = 285,063.90 × 77,871.88
  4. Step 4: Simplify right side
    190,113.40x = 22,198,461,813.13
  5. Step 5: Solve for x
    x = 22,198,461,813.13/190,113.40
  6. Step 6: Final answer
    x = 116,764.32

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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.