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Finding the Fourth Proportional to 155,492.80, 233,066.40 and 66,731.20

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Solution

The fourth proportional to 155,492.80, 233,066.40 and 66,731.20 is: 100,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,492.80 : 233,066.40 = 66,731.20 : x
  2. Step 2: Convert to fraction form
    155,492.80/233,066.40 = 66,731.20/x
  3. Step 3: Cross multiply
    155,492.80x = 233,066.40 × 66,731.20
  4. Step 4: Simplify right side
    155,492.80x = 15,552,800,551.68
  5. Step 5: Solve for x
    x = 15,552,800,551.68/155,492.80
  6. Step 6: Final answer
    x = 100,022.64

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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.