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Finding the Fourth Proportional to 102,013.44, 140,772.48 and 57,300.48

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Solution

The fourth proportional to 102,013.44, 140,772.48 and 57,300.48 is: 79,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,013.44 : 140,772.48 = 57,300.48 : x
  2. Step 2: Convert to fraction form
    102,013.44/140,772.48 = 57,300.48/x
  3. Step 3: Cross multiply
    102,013.44x = 140,772.48 × 57,300.48
  4. Step 4: Simplify right side
    102,013.44x = 8,066,330,674.79
  5. Step 5: Solve for x
    x = 8,066,330,674.79/102,013.44
  6. Step 6: Final answer
    x = 79,071.25

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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.