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Finding the Fourth Proportional to 105,982, 146,254.77 and 57,583.60

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Solution

The fourth proportional to 105,982, 146,254.77 and 57,583.60 is: 79,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,982 : 146,254.77 = 57,583.60 : x
  2. Step 2: Convert to fraction form
    105,982/146,254.77 = 57,583.60/x
  3. Step 3: Cross multiply
    105,982x = 146,254.77 × 57,583.60
  4. Step 4: Simplify right side
    105,982x = 8,421,876,173.77
  5. Step 5: Solve for x
    x = 8,421,876,173.77/105,982
  6. Step 6: Final answer
    x = 79,465.16

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Why These Related Problems?

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