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Finding the Fourth Proportional to 152,706.42, 210,727.75 and 84,722.67

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Solution

The fourth proportional to 152,706.42, 210,727.75 and 84,722.67 is: 116,913.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,706.42 : 210,727.75 = 84,722.67 : x
  2. Step 2: Convert to fraction form
    152,706.42/210,727.75 = 84,722.67/x
  3. Step 3: Cross multiply
    152,706.42x = 210,727.75 × 84,722.67
  4. Step 4: Simplify right side
    152,706.42x = 17,853,417,623.09
  5. Step 5: Solve for x
    x = 17,853,417,623.09/152,706.42
  6. Step 6: Final answer
    x = 116,913.34

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1.5x scale

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.