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Finding the Fourth Proportional to 228,339.84, 342,424.56 and 78,537.72

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Solution

The fourth proportional to 228,339.84, 342,424.56 and 78,537.72 is: 117,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,339.84 : 342,424.56 = 78,537.72 : x
  2. Step 2: Convert to fraction form
    228,339.84/342,424.56 = 78,537.72/x
  3. Step 3: Cross multiply
    228,339.84x = 342,424.56 × 78,537.72
  4. Step 4: Simplify right side
    228,339.84x = 26,893,244,214.40
  5. Step 5: Solve for x
    x = 26,893,244,214.40/228,339.84
  6. Step 6: Final answer
    x = 117,777.28

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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.