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Finding the Fourth Proportional to 72,704.80, 102,020 and 72,704.80

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Solution

The fourth proportional to 72,704.80, 102,020 and 72,704.80 is: 102,020

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,704.80 : 102,020 = 72,704.80 : x
  2. Step 2: Convert to fraction form
    72,704.80/102,020 = 72,704.80/x
  3. Step 3: Cross multiply
    72,704.80x = 102,020 × 72,704.80
  4. Step 4: Simplify right side
    72,704.80x = 7,417,343,696
  5. Step 5: Solve for x
    x = 7,417,343,696/72,704.80
  6. Step 6: Final answer
    x = 102,020

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Why These Related Problems?

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