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Finding the Fourth Proportional to 120,488.83, 180,771.01 and 72,509.78

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Solution

The fourth proportional to 120,488.83, 180,771.01 and 72,509.78 is: 108,787.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,488.83 : 180,771.01 = 72,509.78 : x
  2. Step 2: Convert to fraction form
    120,488.83/180,771.01 = 72,509.78/x
  3. Step 3: Cross multiply
    120,488.83x = 180,771.01 × 72,509.78
  4. Step 4: Simplify right side
    120,488.83x = 13,107,666,165.48
  5. Step 5: Solve for x
    x = 13,107,666,165.48/120,488.83
  6. Step 6: Final answer
    x = 108,787.40

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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.