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Finding the Fourth Proportional to 136,941.60, 205,412.40 and 83,719.20

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Solution

The fourth proportional to 136,941.60, 205,412.40 and 83,719.20 is: 125,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,941.60 : 205,412.40 = 83,719.20 : x
  2. Step 2: Convert to fraction form
    136,941.60/205,412.40 = 83,719.20/x
  3. Step 3: Cross multiply
    136,941.60x = 205,412.40 × 83,719.20
  4. Step 4: Simplify right side
    136,941.60x = 17,196,961,798.08
  5. Step 5: Solve for x
    x = 17,196,961,798.08/136,941.60
  6. Step 6: Final answer
    x = 125,578.80

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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.