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Finding the Fourth Proportional to 144,564.60, 216,944.10 and 81,384.60

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Solution

The fourth proportional to 144,564.60, 216,944.10 and 81,384.60 is: 122,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,564.60 : 216,944.10 = 81,384.60 : x
  2. Step 2: Convert to fraction form
    144,564.60/216,944.10 = 81,384.60/x
  3. Step 3: Cross multiply
    144,564.60x = 216,944.10 × 81,384.60
  4. Step 4: Simplify right side
    144,564.60x = 17,655,908,800.86
  5. Step 5: Solve for x
    x = 17,655,908,800.86/144,564.60
  6. Step 6: Final answer
    x = 122,131.62

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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.