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Finding the Fourth Proportional to 52,420.67, 78,630.08 and 12,977.78

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Solution

The fourth proportional to 52,420.67, 78,630.08 and 12,977.78 is: 19,466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,420.67 : 78,630.08 = 12,977.78 : x
  2. Step 2: Convert to fraction form
    52,420.67/78,630.08 = 12,977.78/x
  3. Step 3: Cross multiply
    52,420.67x = 78,630.08 × 12,977.78
  4. Step 4: Simplify right side
    52,420.67x = 1,020,443,421.58
  5. Step 5: Solve for x
    x = 1,020,443,421.58/52,420.67
  6. Step 6: Final answer
    x = 19,466.43

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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.