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Finding the Fourth Proportional to 102,463.98, 141,400.01 and 57,142.01

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Solution

The fourth proportional to 102,463.98, 141,400.01 and 57,142.01 is: 78,855.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,463.98 : 141,400.01 = 57,142.01 : x
  2. Step 2: Convert to fraction form
    102,463.98/141,400.01 = 57,142.01/x
  3. Step 3: Cross multiply
    102,463.98x = 141,400.01 × 57,142.01
  4. Step 4: Simplify right side
    102,463.98x = 8,079,879,792.71
  5. Step 5: Solve for x
    x = 8,079,879,792.71/102,463.98
  6. Step 6: Final answer
    x = 78,855.81

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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.