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Finding the Fourth Proportional to 103,497.70, 142,881.21 and 69,683.98

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Solution

The fourth proportional to 103,497.70, 142,881.21 and 69,683.98 is: 96,200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,497.70 : 142,881.21 = 69,683.98 : x
  2. Step 2: Convert to fraction form
    103,497.70/142,881.21 = 69,683.98/x
  3. Step 3: Cross multiply
    103,497.70x = 142,881.21 × 69,683.98
  4. Step 4: Simplify right side
    103,497.70x = 9,956,531,380.02
  5. Step 5: Solve for x
    x = 9,956,531,380.02/103,497.70
  6. Step 6: Final answer
    x = 96,200.51

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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.