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Finding the Fourth Proportional to 152,309.96, 210,180.88 and 84,322.16

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Solution

The fourth proportional to 152,309.96, 210,180.88 and 84,322.16 is: 116,360.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,309.96 : 210,180.88 = 84,322.16 : x
  2. Step 2: Convert to fraction form
    152,309.96/210,180.88 = 84,322.16/x
  3. Step 3: Cross multiply
    152,309.96x = 210,180.88 × 84,322.16
  4. Step 4: Simplify right side
    152,309.96x = 17,722,905,792.30
  5. Step 5: Solve for x
    x = 17,722,905,792.30/152,309.96
  6. Step 6: Final answer
    x = 116,360.78

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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.