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Finding the Fourth Proportional to 155,072, 213,999.36 and 84,416

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Solution

The fourth proportional to 155,072, 213,999.36 and 84,416 is: 116,494.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,072 : 213,999.36 = 84,416 : x
  2. Step 2: Convert to fraction form
    155,072/213,999.36 = 84,416/x
  3. Step 3: Cross multiply
    155,072x = 213,999.36 × 84,416
  4. Step 4: Simplify right side
    155,072x = 18,064,969,973.76
  5. Step 5: Solve for x
    x = 18,064,969,973.76/155,072
  6. Step 6: Final answer
    x = 116,494.08

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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.