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Finding the Fourth Proportional to 205,806.93, 308,802.04 and 130,907.64

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Solution

The fourth proportional to 205,806.93, 308,802.04 and 130,907.64 is: 196,419.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,806.93 : 308,802.04 = 130,907.64 : x
  2. Step 2: Convert to fraction form
    205,806.93/308,802.04 = 130,907.64/x
  3. Step 3: Cross multiply
    205,806.93x = 308,802.04 × 130,907.64
  4. Step 4: Simplify right side
    205,806.93x = 40,424,547,114.32
  5. Step 5: Solve for x
    x = 40,424,547,114.32/205,806.93
  6. Step 6: Final answer
    x = 196,419.76

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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.