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Finding the Fourth Proportional to 102,966, 142,095.45 and 57,642.84

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Solution

The fourth proportional to 102,966, 142,095.45 and 57,642.84 is: 79,548.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,966 : 142,095.45 = 57,642.84 : x
  2. Step 2: Convert to fraction form
    102,966/142,095.45 = 57,642.84/x
  3. Step 3: Cross multiply
    102,966x = 142,095.45 × 57,642.84
  4. Step 4: Simplify right side
    102,966x = 8,190,785,289.08
  5. Step 5: Solve for x
    x = 8,190,785,289.08/102,966
  6. Step 6: Final answer
    x = 79,548.45

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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.