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Finding the Fourth Proportional to 152,823, 210,915.18 and 85,755

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Solution

The fourth proportional to 152,823, 210,915.18 and 85,755 is: 118,352.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,823 : 210,915.18 = 85,755 : x
  2. Step 2: Convert to fraction form
    152,823/210,915.18 = 85,755/x
  3. Step 3: Cross multiply
    152,823x = 210,915.18 × 85,755
  4. Step 4: Simplify right side
    152,823x = 18,087,031,260.90
  5. Step 5: Solve for x
    x = 18,087,031,260.90/152,823
  6. Step 6: Final answer
    x = 118,352.81

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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.