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Finding the Fourth Proportional to 77,352, 106,740 and 43,817.28

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Solution

The fourth proportional to 77,352, 106,740 and 43,817.28 is: 60,464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,352 : 106,740 = 43,817.28 : x
  2. Step 2: Convert to fraction form
    77,352/106,740 = 43,817.28/x
  3. Step 3: Cross multiply
    77,352x = 106,740 × 43,817.28
  4. Step 4: Simplify right side
    77,352x = 4,677,056,467.20
  5. Step 5: Solve for x
    x = 4,677,056,467.20/77,352
  6. Step 6: Final answer
    x = 60,464.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.