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Finding the Fourth Proportional to 280,113.60, 420,121.80 and 102,529.20

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Solution

The fourth proportional to 280,113.60, 420,121.80 and 102,529.20 is: 153,776.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,113.60 : 420,121.80 = 102,529.20 : x
  2. Step 2: Convert to fraction form
    280,113.60/420,121.80 = 102,529.20/x
  3. Step 3: Cross multiply
    280,113.60x = 420,121.80 × 102,529.20
  4. Step 4: Simplify right side
    280,113.60x = 43,074,752,056.56
  5. Step 5: Solve for x
    x = 43,074,752,056.56/280,113.60
  6. Step 6: Final answer
    x = 153,776.01

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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.