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Finding the Fourth Proportional to 253,748.68, 380,623.02 and 105,901

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Solution

The fourth proportional to 253,748.68, 380,623.02 and 105,901 is: 158,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,748.68 : 380,623.02 = 105,901 : x
  2. Step 2: Convert to fraction form
    253,748.68/380,623.02 = 105,901/x
  3. Step 3: Cross multiply
    253,748.68x = 380,623.02 × 105,901
  4. Step 4: Simplify right side
    253,748.68x = 40,308,358,441.02
  5. Step 5: Solve for x
    x = 40,308,358,441.02/253,748.68
  6. Step 6: Final answer
    x = 158,851.50

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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.