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Finding the Fourth Proportional to 280,121.60, 420,133.80 and 102,537.20

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Solution

The fourth proportional to 280,121.60, 420,133.80 and 102,537.20 is: 153,788.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,121.60 : 420,133.80 = 102,537.20 : x
  2. Step 2: Convert to fraction form
    280,121.60/420,133.80 = 102,537.20/x
  3. Step 3: Cross multiply
    280,121.60x = 420,133.80 × 102,537.20
  4. Step 4: Simplify right side
    280,121.60x = 43,079,343,477.36
  5. Step 5: Solve for x
    x = 43,079,343,477.36/280,121.60
  6. Step 6: Final answer
    x = 153,788.01

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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.