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Finding the Fourth Proportional to 102,146, 140,961.54 and 57,434

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Solution

The fourth proportional to 102,146, 140,961.54 and 57,434 is: 79,258.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,146 : 140,961.54 = 57,434 : x
  2. Step 2: Convert to fraction form
    102,146/140,961.54 = 57,434/x
  3. Step 3: Cross multiply
    102,146x = 140,961.54 × 57,434
  4. Step 4: Simplify right side
    102,146x = 8,095,985,088.36
  5. Step 5: Solve for x
    x = 8,095,985,088.36/102,146
  6. Step 6: Final answer
    x = 79,258.95

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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.