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Finding the Fourth Proportional to 183,526.80, 253,279.20 and 102,960

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Solution

The fourth proportional to 183,526.80, 253,279.20 and 102,960 is: 142,091.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,526.80 : 253,279.20 = 102,960 : x
  2. Step 2: Convert to fraction form
    183,526.80/253,279.20 = 102,960/x
  3. Step 3: Cross multiply
    183,526.80x = 253,279.20 × 102,960
  4. Step 4: Simplify right side
    183,526.80x = 26,077,626,432
  5. Step 5: Solve for x
    x = 26,077,626,432/183,526.80
  6. Step 6: Final answer
    x = 142,091.65

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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.