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Finding the Fourth Proportional to 188,609.33, 260,282.71 and 102,570.15

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Solution

The fourth proportional to 188,609.33, 260,282.71 and 102,570.15 is: 141,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,609.33 : 260,282.71 = 102,570.15 : x
  2. Step 2: Convert to fraction form
    188,609.33/260,282.71 = 102,570.15/x
  3. Step 3: Cross multiply
    188,609.33x = 260,282.71 × 102,570.15
  4. Step 4: Simplify right side
    188,609.33x = 26,697,237,326.74
  5. Step 5: Solve for x
    x = 26,697,237,326.74/188,609.33
  6. Step 6: Final answer
    x = 141,547.81

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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.