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Finding the Fourth Proportional to 190,385.52, 285,484.68 and 78,035.28

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Solution

The fourth proportional to 190,385.52, 285,484.68 and 78,035.28 is: 117,014.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,385.52 : 285,484.68 = 78,035.28 : x
  2. Step 2: Convert to fraction form
    190,385.52/285,484.68 = 78,035.28/x
  3. Step 3: Cross multiply
    190,385.52x = 285,484.68 × 78,035.28
  4. Step 4: Simplify right side
    190,385.52x = 22,277,876,939.51
  5. Step 5: Solve for x
    x = 22,277,876,939.51/190,385.52
  6. Step 6: Final answer
    x = 117,014.56

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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.