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Finding the Fourth Proportional to 142,656.54, 213,669.40 and 97,571.04

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Solution

The fourth proportional to 142,656.54, 213,669.40 and 97,571.04 is: 146,140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,656.54 : 213,669.40 = 97,571.04 : x
  2. Step 2: Convert to fraction form
    142,656.54/213,669.40 = 97,571.04/x
  3. Step 3: Cross multiply
    142,656.54x = 213,669.40 × 97,571.04
  4. Step 4: Simplify right side
    142,656.54x = 20,847,944,017.97
  5. Step 5: Solve for x
    x = 20,847,944,017.97/142,656.54
  6. Step 6: Final answer
    x = 146,140.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.