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Finding the Fourth Proportional to 228,461.34, 342,768.56 and 78,804.93

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Solution

The fourth proportional to 228,461.34, 342,768.56 and 78,804.93 is: 118,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,461.34 : 342,768.56 = 78,804.93 : x
  2. Step 2: Convert to fraction form
    228,461.34/342,768.56 = 78,804.93/x
  3. Step 3: Cross multiply
    228,461.34x = 342,768.56 × 78,804.93
  4. Step 4: Simplify right side
    228,461.34x = 27,011,851,982.98
  5. Step 5: Solve for x
    x = 27,011,851,982.98/228,461.34
  6. Step 6: Final answer
    x = 118,233.80

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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.