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Finding the Fourth Proportional to 152,971, 211,099.98 and 85,903

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Solution

The fourth proportional to 152,971, 211,099.98 and 85,903 is: 118,546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,971 : 211,099.98 = 85,903 : x
  2. Step 2: Convert to fraction form
    152,971/211,099.98 = 85,903/x
  3. Step 3: Cross multiply
    152,971x = 211,099.98 × 85,903
  4. Step 4: Simplify right side
    152,971x = 18,134,121,581.94
  5. Step 5: Solve for x
    x = 18,134,121,581.94/152,971
  6. Step 6: Final answer
    x = 118,546.14

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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.