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Finding the Fourth Proportional to 152,885.85, 210,978.45 and 84,900.66

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Solution

The fourth proportional to 152,885.85, 210,978.45 and 84,900.66 is: 117,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,885.85 : 210,978.45 = 84,900.66 : x
  2. Step 2: Convert to fraction form
    152,885.85/210,978.45 = 84,900.66/x
  3. Step 3: Cross multiply
    152,885.85x = 210,978.45 × 84,900.66
  4. Step 4: Simplify right side
    152,885.85x = 17,912,209,650.78
  5. Step 5: Solve for x
    x = 17,912,209,650.78/152,885.85
  6. Step 6: Final answer
    x = 117,160.68

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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.