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Finding the Fourth Proportional to 142,075.60, 213,228.60 and 137,467.60

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Solution

The fourth proportional to 142,075.60, 213,228.60 and 137,467.60 is: 206,312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,075.60 : 213,228.60 = 137,467.60 : x
  2. Step 2: Convert to fraction form
    142,075.60/213,228.60 = 137,467.60/x
  3. Step 3: Cross multiply
    142,075.60x = 213,228.60 × 137,467.60
  4. Step 4: Simplify right side
    142,075.60x = 29,312,023,893.36
  5. Step 5: Solve for x
    x = 29,312,023,893.36/142,075.60
  6. Step 6: Final answer
    x = 206,312.86

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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.