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Finding the Fourth Proportional to 228,085.66, 342,043.40 and 78,283.44

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Solution

The fourth proportional to 228,085.66, 342,043.40 and 78,283.44 is: 117,395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,085.66 : 342,043.40 = 78,283.44 : x
  2. Step 2: Convert to fraction form
    228,085.66/342,043.40 = 78,283.44/x
  3. Step 3: Cross multiply
    228,085.66x = 342,043.40 × 78,283.44
  4. Step 4: Simplify right side
    228,085.66x = 26,776,333,981.30
  5. Step 5: Solve for x
    x = 26,776,333,981.30/228,085.66
  6. Step 6: Final answer
    x = 117,395.96

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1.5x scale

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.