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Finding the Fourth Proportional to 144,312.96, 216,336.96 and 55,539.84

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Solution

The fourth proportional to 144,312.96, 216,336.96 and 55,539.84 is: 83,258.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,312.96 : 216,336.96 = 55,539.84 : x
  2. Step 2: Convert to fraction form
    144,312.96/216,336.96 = 55,539.84/x
  3. Step 3: Cross multiply
    144,312.96x = 216,336.96 × 55,539.84
  4. Step 4: Simplify right side
    144,312.96x = 12,015,320,144.49
  5. Step 5: Solve for x
    x = 12,015,320,144.49/144,312.96
  6. Step 6: Final answer
    x = 83,258.77

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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.