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Finding the Fourth Proportional to 105,496.78, 145,602.51 and 60,189.54

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Solution

The fourth proportional to 105,496.78, 145,602.51 and 60,189.54 is: 83,071.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,496.78 : 145,602.51 = 60,189.54 : x
  2. Step 2: Convert to fraction form
    105,496.78/145,602.51 = 60,189.54/x
  3. Step 3: Cross multiply
    105,496.78x = 145,602.51 × 60,189.54
  4. Step 4: Simplify right side
    105,496.78x = 8,763,747,798.80
  5. Step 5: Solve for x
    x = 8,763,747,798.80/105,496.78
  6. Step 6: Final answer
    x = 83,071.24

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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.