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Finding the Fourth Proportional to 155,153.89, 232,713.41 and 42,850.08

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Solution

The fourth proportional to 155,153.89, 232,713.41 and 42,850.08 is: 64,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,153.89 : 232,713.41 = 42,850.08 : x
  2. Step 2: Convert to fraction form
    155,153.89/232,713.41 = 42,850.08/x
  3. Step 3: Cross multiply
    155,153.89x = 232,713.41 × 42,850.08
  4. Step 4: Simplify right side
    155,153.89x = 9,971,788,021.32
  5. Step 5: Solve for x
    x = 9,971,788,021.32/155,153.89
  6. Step 6: Final answer
    x = 64,270.31

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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.