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Finding the Fourth Proportional to 152,516.44, 210,474.90 and 87,984.64

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Solution

The fourth proportional to 152,516.44, 210,474.90 and 87,984.64 is: 121,420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,516.44 : 210,474.90 = 87,984.64 : x
  2. Step 2: Convert to fraction form
    152,516.44/210,474.90 = 87,984.64/x
  3. Step 3: Cross multiply
    152,516.44x = 210,474.90 × 87,984.64
  4. Step 4: Simplify right side
    152,516.44x = 18,518,558,305.54
  5. Step 5: Solve for x
    x = 18,518,558,305.54/152,516.44
  6. Step 6: Final answer
    x = 121,420.08

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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.