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Finding the Fourth Proportional to 146,146, 201,681.66 and 79,078

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Solution

The fourth proportional to 146,146, 201,681.66 and 79,078 is: 109,127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,146 : 201,681.66 = 79,078 : x
  2. Step 2: Convert to fraction form
    146,146/201,681.66 = 79,078/x
  3. Step 3: Cross multiply
    146,146x = 201,681.66 × 79,078
  4. Step 4: Simplify right side
    146,146x = 15,948,582,309.48
  5. Step 5: Solve for x
    x = 15,948,582,309.48/146,146
  6. Step 6: Final answer
    x = 109,127.74

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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.