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Finding the Fourth Proportional to 120,459.51, 180,949.95 and 78,317.91

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Solution

The fourth proportional to 120,459.51, 180,949.95 and 78,317.91 is: 117,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,459.51 : 180,949.95 = 78,317.91 : x
  2. Step 2: Convert to fraction form
    120,459.51/180,949.95 = 78,317.91/x
  3. Step 3: Cross multiply
    120,459.51x = 180,949.95 × 78,317.91
  4. Step 4: Simplify right side
    120,459.51x = 14,171,621,507.02
  5. Step 5: Solve for x
    x = 14,171,621,507.02/120,459.51
  6. Step 6: Final answer
    x = 117,646.35

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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.