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Finding the Fourth Proportional to 152,996, 211,154.28 and 85,928

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Solution

The fourth proportional to 152,996, 211,154.28 and 85,928 is: 118,591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,996 : 211,154.28 = 85,928 : x
  2. Step 2: Convert to fraction form
    152,996/211,154.28 = 85,928/x
  3. Step 3: Cross multiply
    152,996x = 211,154.28 × 85,928
  4. Step 4: Simplify right side
    152,996x = 18,144,064,971.84
  5. Step 5: Solve for x
    x = 18,144,064,971.84/152,996
  6. Step 6: Final answer
    x = 118,591.76

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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.