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Finding the Fourth Proportional to 152,864.96, 210,942.08 and 85,784

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Solution

The fourth proportional to 152,864.96, 210,942.08 and 85,784 is: 118,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,864.96 : 210,942.08 = 85,784 : x
  2. Step 2: Convert to fraction form
    152,864.96/210,942.08 = 85,784/x
  3. Step 3: Cross multiply
    152,864.96x = 210,942.08 × 85,784
  4. Step 4: Simplify right side
    152,864.96x = 18,095,455,390.72
  5. Step 5: Solve for x
    x = 18,095,455,390.72/152,864.96
  6. Step 6: Final answer
    x = 118,375.43

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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.