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Finding the Fourth Proportional to 190,678.98, 285,970.44 and 78,390.48

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Solution

The fourth proportional to 190,678.98, 285,970.44 and 78,390.48 is: 117,565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,678.98 : 285,970.44 = 78,390.48 : x
  2. Step 2: Convert to fraction form
    190,678.98/285,970.44 = 78,390.48/x
  3. Step 3: Cross multiply
    190,678.98x = 285,970.44 × 78,390.48
  4. Step 4: Simplify right side
    190,678.98x = 22,417,360,057.41
  5. Step 5: Solve for x
    x = 22,417,360,057.41/190,678.98
  6. Step 6: Final answer
    x = 117,565.97

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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.