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Finding the Fourth Proportional to 120,509.64, 166,303.24 and 72,774.72

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Solution

The fourth proportional to 120,509.64, 166,303.24 and 72,774.72 is: 100,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,509.64 : 166,303.24 = 72,774.72 : x
  2. Step 2: Convert to fraction form
    120,509.64/166,303.24 = 72,774.72/x
  3. Step 3: Cross multiply
    120,509.64x = 166,303.24 × 72,774.72
  4. Step 4: Simplify right side
    120,509.64x = 12,102,671,726.09
  5. Step 5: Solve for x
    x = 12,102,671,726.09/120,509.64
  6. Step 6: Final answer
    x = 100,429.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.