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Finding the Fourth Proportional to 253,810.22, 380,763.39 and 102,019.13

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Solution

The fourth proportional to 253,810.22, 380,763.39 and 102,019.13 is: 153,048.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,810.22 : 380,763.39 = 102,019.13 : x
  2. Step 2: Convert to fraction form
    253,810.22/380,763.39 = 102,019.13/x
  3. Step 3: Cross multiply
    253,810.22x = 380,763.39 × 102,019.13
  4. Step 4: Simplify right side
    253,810.22x = 38,845,149,783.65
  5. Step 5: Solve for x
    x = 38,845,149,783.65/253,810.22
  6. Step 6: Final answer
    x = 153,048.01

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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.