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Finding the Fourth Proportional to 261,994.50, 361,552.41 and 142,762.50

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Solution

The fourth proportional to 261,994.50, 361,552.41 and 142,762.50 is: 197,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,994.50 : 361,552.41 = 142,762.50 : x
  2. Step 2: Convert to fraction form
    261,994.50/361,552.41 = 142,762.50/x
  3. Step 3: Cross multiply
    261,994.50x = 361,552.41 × 142,762.50
  4. Step 4: Simplify right side
    261,994.50x = 51,616,125,932.63
  5. Step 5: Solve for x
    x = 51,616,125,932.63/261,994.50
  6. Step 6: Final answer
    x = 197,012.25

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1.5x scale

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.