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Finding the Fourth Proportional to 97,746.78, 146,013.69 and 70,879.49

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Solution

The fourth proportional to 97,746.78, 146,013.69 and 70,879.49 is: 105,879.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,746.78 : 146,013.69 = 70,879.49 : x
  2. Step 2: Convert to fraction form
    97,746.78/146,013.69 = 70,879.49/x
  3. Step 3: Cross multiply
    97,746.78x = 146,013.69 × 70,879.49
  4. Step 4: Simplify right side
    97,746.78x = 10,349,375,692.38
  5. Step 5: Solve for x
    x = 10,349,375,692.38/97,746.78
  6. Step 6: Final answer
    x = 105,879.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.