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Finding the Fourth Proportional to 72,706.55, 102,022.45 and 72,706.55

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Solution

The fourth proportional to 72,706.55, 102,022.45 and 72,706.55 is: 102,022.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,706.55 : 102,022.45 = 72,706.55 : x
  2. Step 2: Convert to fraction form
    72,706.55/102,022.45 = 72,706.55/x
  3. Step 3: Cross multiply
    72,706.55x = 102,022.45 × 72,706.55
  4. Step 4: Simplify right side
    72,706.55x = 7,417,700,362.05
  5. Step 5: Solve for x
    x = 7,417,700,362.05/72,706.55
  6. Step 6: Final answer
    x = 102,022.45

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.