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Finding the Fourth Proportional to 152,874.72, 210,970.80 and 85,812.96

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Solution

The fourth proportional to 152,874.72, 210,970.80 and 85,812.96 is: 118,423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,874.72 : 210,970.80 = 85,812.96 : x
  2. Step 2: Convert to fraction form
    152,874.72/210,970.80 = 85,812.96/x
  3. Step 3: Cross multiply
    152,874.72x = 210,970.80 × 85,812.96
  4. Step 4: Simplify right side
    152,874.72x = 18,104,028,821.57
  5. Step 5: Solve for x
    x = 18,104,028,821.57/152,874.72
  6. Step 6: Final answer
    x = 118,423.95

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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.