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Finding the Fourth Proportional to 128,833.74, 193,263.57 and 47,802.96

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Solution

The fourth proportional to 128,833.74, 193,263.57 and 47,802.96 is: 71,709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,833.74 : 193,263.57 = 47,802.96 : x
  2. Step 2: Convert to fraction form
    128,833.74/193,263.57 = 47,802.96/x
  3. Step 3: Cross multiply
    128,833.74x = 193,263.57 × 47,802.96
  4. Step 4: Simplify right side
    128,833.74x = 9,238,570,706.17
  5. Step 5: Solve for x
    x = 9,238,570,706.17/128,833.74
  6. Step 6: Final answer
    x = 71,709.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.