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Finding the Fourth Proportional to 165,384.80, 228,295.93 and 117,238.38

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Solution

The fourth proportional to 165,384.80, 228,295.93 and 117,238.38 is: 161,834.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,384.80 : 228,295.93 = 117,238.38 : x
  2. Step 2: Convert to fraction form
    165,384.80/228,295.93 = 117,238.38/x
  3. Step 3: Cross multiply
    165,384.80x = 228,295.93 × 117,238.38
  4. Step 4: Simplify right side
    165,384.80x = 26,765,044,700.70
  5. Step 5: Solve for x
    x = 26,765,044,700.70/165,384.80
  6. Step 6: Final answer
    x = 161,834.98

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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.