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Finding the Fourth Proportional to 142,405.70, 213,482.84 and 53,721.48

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Solution

The fourth proportional to 142,405.70, 213,482.84 and 53,721.48 is: 80,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,405.70 : 213,482.84 = 53,721.48 : x
  2. Step 2: Convert to fraction form
    142,405.70/213,482.84 = 53,721.48/x
  3. Step 3: Cross multiply
    142,405.70x = 213,482.84 × 53,721.48
  4. Step 4: Simplify right side
    142,405.70x = 11,468,614,852.81
  5. Step 5: Solve for x
    x = 11,468,614,852.81/142,405.70
  6. Step 6: Final answer
    x = 80,534.80

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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.