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Finding the Fourth Proportional to 152,894.90, 210,953.49 and 85,825.46

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Solution

The fourth proportional to 152,894.90, 210,953.49 and 85,825.46 is: 118,415.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,894.90 : 210,953.49 = 85,825.46 : x
  2. Step 2: Convert to fraction form
    152,894.90/210,953.49 = 85,825.46/x
  3. Step 3: Cross multiply
    152,894.90x = 210,953.49 × 85,825.46
  4. Step 4: Simplify right side
    152,894.90x = 18,105,180,317.86
  5. Step 5: Solve for x
    x = 18,105,180,317.86/152,894.90
  6. Step 6: Final answer
    x = 118,415.86

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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.