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Finding the Fourth Proportional to 152,706.68, 210,728.09 and 84,722.93

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Solution

The fourth proportional to 152,706.68, 210,728.09 and 84,722.93 is: 116,913.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,706.68 : 210,728.09 = 84,722.93 : x
  2. Step 2: Convert to fraction form
    152,706.68/210,728.09 = 84,722.93/x
  3. Step 3: Cross multiply
    152,706.68x = 210,728.09 × 84,722.93
  4. Step 4: Simplify right side
    152,706.68x = 17,853,499,740.85
  5. Step 5: Solve for x
    x = 17,853,499,740.85/152,706.68
  6. Step 6: Final answer
    x = 116,913.68

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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.