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Finding the Fourth Proportional to 155,291.87, 214,301.51 and 97,968.22

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Solution

The fourth proportional to 155,291.87, 214,301.51 and 97,968.22 is: 135,195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,291.87 : 214,301.51 = 97,968.22 : x
  2. Step 2: Convert to fraction form
    155,291.87/214,301.51 = 97,968.22/x
  3. Step 3: Cross multiply
    155,291.87x = 214,301.51 × 97,968.22
  4. Step 4: Simplify right side
    155,291.87x = 20,994,737,478.01
  5. Step 5: Solve for x
    x = 20,994,737,478.01/155,291.87
  6. Step 6: Final answer
    x = 135,195.34

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1.5x scale

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.