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Finding the Fourth Proportional to 102,605.94, 141,549.93 and 60,146.55

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Solution

The fourth proportional to 102,605.94, 141,549.93 and 60,146.55 is: 82,975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,605.94 : 141,549.93 = 60,146.55 : x
  2. Step 2: Convert to fraction form
    102,605.94/141,549.93 = 60,146.55/x
  3. Step 3: Cross multiply
    102,605.94x = 141,549.93 × 60,146.55
  4. Step 4: Simplify right side
    102,605.94x = 8,513,739,942.24
  5. Step 5: Solve for x
    x = 8,513,739,942.24/102,605.94
  6. Step 6: Final answer
    x = 82,975.12

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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.