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Finding the Fourth Proportional to 142,051.52, 213,208.16 and 71,980.48

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Solution

The fourth proportional to 142,051.52, 213,208.16 and 71,980.48 is: 108,037.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,051.52 : 213,208.16 = 71,980.48 : x
  2. Step 2: Convert to fraction form
    142,051.52/213,208.16 = 71,980.48/x
  3. Step 3: Cross multiply
    142,051.52x = 213,208.16 × 71,980.48
  4. Step 4: Simplify right side
    142,051.52x = 15,346,825,696.72
  5. Step 5: Solve for x
    x = 15,346,825,696.72/142,051.52
  6. Step 6: Final answer
    x = 108,037.04

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1.5x scale

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.