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Finding the Fourth Proportional to 190,673.95, 285,962.94 and 78,385.48

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Solution

The fourth proportional to 190,673.95, 285,962.94 and 78,385.48 is: 117,558.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,673.95 : 285,962.94 = 78,385.48 : x
  2. Step 2: Convert to fraction form
    190,673.95/285,962.94 = 78,385.48/x
  3. Step 3: Cross multiply
    190,673.95x = 285,962.94 × 78,385.48
  4. Step 4: Simplify right side
    190,673.95x = 22,415,342,314.11
  5. Step 5: Solve for x
    x = 22,415,342,314.11/190,673.95
  6. Step 6: Final answer
    x = 117,558.49

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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.