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Finding the Fourth Proportional to 183,528.84, 253,288.98 and 102,978.12

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Solution

The fourth proportional to 183,528.84, 253,288.98 and 102,978.12 is: 142,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,528.84 : 253,288.98 = 102,978.12 : x
  2. Step 2: Convert to fraction form
    183,528.84/253,288.98 = 102,978.12/x
  3. Step 3: Cross multiply
    183,528.84x = 253,288.98 × 102,978.12
  4. Step 4: Simplify right side
    183,528.84x = 26,083,222,977.12
  5. Step 5: Solve for x
    x = 26,083,222,977.12/183,528.84
  6. Step 6: Final answer
    x = 142,120.57

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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.