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Finding the Fourth Proportional to 152,906, 211,010.40 and 85,859.60

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Solution

The fourth proportional to 152,906, 211,010.40 and 85,859.60 is: 118,486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,906 : 211,010.40 = 85,859.60 : x
  2. Step 2: Convert to fraction form
    152,906/211,010.40 = 85,859.60/x
  3. Step 3: Cross multiply
    152,906x = 211,010.40 × 85,859.60
  4. Step 4: Simplify right side
    152,906x = 18,117,268,539.84
  5. Step 5: Solve for x
    x = 18,117,268,539.84/152,906
  6. Step 6: Final answer
    x = 118,486.32

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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.