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Finding the Fourth Proportional to 137,919, 190,328.40 and 78,303

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Solution

The fourth proportional to 137,919, 190,328.40 and 78,303 is: 108,058.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,919 : 190,328.40 = 78,303 : x
  2. Step 2: Convert to fraction form
    137,919/190,328.40 = 78,303/x
  3. Step 3: Cross multiply
    137,919x = 190,328.40 × 78,303
  4. Step 4: Simplify right side
    137,919x = 14,903,284,705.20
  5. Step 5: Solve for x
    x = 14,903,284,705.20/137,919
  6. Step 6: Final answer
    x = 108,058.24

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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.