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Finding the Fourth Proportional to 180,809.86, 249,532.34 and 100,262.64

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Solution

The fourth proportional to 180,809.86, 249,532.34 and 100,262.64 is: 138,370.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,809.86 : 249,532.34 = 100,262.64 : x
  2. Step 2: Convert to fraction form
    180,809.86/249,532.34 = 100,262.64/x
  3. Step 3: Cross multiply
    180,809.86x = 249,532.34 × 100,262.64
  4. Step 4: Simplify right side
    180,809.86x = 25,018,771,173.78
  5. Step 5: Solve for x
    x = 25,018,771,173.78/180,809.86
  6. Step 6: Final answer
    x = 138,370.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.