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Finding the Fourth Proportional to 136,782.60, 205,058.70 and 71,118.60

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Solution

The fourth proportional to 136,782.60, 205,058.70 and 71,118.60 is: 106,618.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,782.60 : 205,058.70 = 71,118.60 : x
  2. Step 2: Convert to fraction form
    136,782.60/205,058.70 = 71,118.60/x
  3. Step 3: Cross multiply
    136,782.60x = 205,058.70 × 71,118.60
  4. Step 4: Simplify right side
    136,782.60x = 14,583,487,661.82
  5. Step 5: Solve for x
    x = 14,583,487,661.82/136,782.60
  6. Step 6: Final answer
    x = 106,618.00

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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.