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Finding the Fourth Proportional to 136,409.20, 205,051.20 and 97,237.60

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Solution

The fourth proportional to 136,409.20, 205,051.20 and 97,237.60 is: 146,168.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,409.20 : 205,051.20 = 97,237.60 : x
  2. Step 2: Convert to fraction form
    136,409.20/205,051.20 = 97,237.60/x
  3. Step 3: Cross multiply
    136,409.20x = 205,051.20 × 97,237.60
  4. Step 4: Simplify right side
    136,409.20x = 19,938,686,565.12
  5. Step 5: Solve for x
    x = 19,938,686,565.12/136,409.20
  6. Step 6: Final answer
    x = 146,168.20

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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.