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Finding the Fourth Proportional to 205,683.30, 308,547.63 and 65,409.12

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Solution

The fourth proportional to 205,683.30, 308,547.63 and 65,409.12 is: 98,120.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,683.30 : 308,547.63 = 65,409.12 : x
  2. Step 2: Convert to fraction form
    205,683.30/308,547.63 = 65,409.12/x
  3. Step 3: Cross multiply
    205,683.30x = 308,547.63 × 65,409.12
  4. Step 4: Simplify right side
    205,683.30x = 20,181,828,956.39
  5. Step 5: Solve for x
    x = 20,181,828,956.39/205,683.30
  6. Step 6: Final answer
    x = 98,120.89

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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.