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Finding the Fourth Proportional to 144,083.60, 216,368.40 and 120,366.80

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Solution

The fourth proportional to 144,083.60, 216,368.40 and 120,366.80 is: 180,753.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,083.60 : 216,368.40 = 120,366.80 : x
  2. Step 2: Convert to fraction form
    144,083.60/216,368.40 = 120,366.80/x
  3. Step 3: Cross multiply
    144,083.60x = 216,368.40 × 120,366.80
  4. Step 4: Simplify right side
    144,083.60x = 26,043,571,929.12
  5. Step 5: Solve for x
    x = 26,043,571,929.12/144,083.60
  6. Step 6: Final answer
    x = 180,753.20

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1.5x scale

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.