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Finding the Fourth Proportional to 280,114.60, 420,123.30 and 102,530.20

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Solution

The fourth proportional to 280,114.60, 420,123.30 and 102,530.20 is: 153,777.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,114.60 : 420,123.30 = 102,530.20 : x
  2. Step 2: Convert to fraction form
    280,114.60/420,123.30 = 102,530.20/x
  3. Step 3: Cross multiply
    280,114.60x = 420,123.30 × 102,530.20
  4. Step 4: Simplify right side
    280,114.60x = 43,075,325,973.66
  5. Step 5: Solve for x
    x = 43,075,325,973.66/280,114.60
  6. Step 6: Final answer
    x = 153,777.51

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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.