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Finding the Fourth Proportional to 92,864, 128,152.32 and 53,120

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Solution

The fourth proportional to 92,864, 128,152.32 and 53,120 is: 73,305.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,864 : 128,152.32 = 53,120 : x
  2. Step 2: Convert to fraction form
    92,864/128,152.32 = 53,120/x
  3. Step 3: Cross multiply
    92,864x = 128,152.32 × 53,120
  4. Step 4: Simplify right side
    92,864x = 6,807,451,238.40
  5. Step 5: Solve for x
    x = 6,807,451,238.40/92,864
  6. Step 6: Final answer
    x = 73,305.60

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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.