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Finding the Fourth Proportional to 144,505.84, 216,759.06 and 77,977.30

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Solution

The fourth proportional to 144,505.84, 216,759.06 and 77,977.30 is: 116,966.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,505.84 : 216,759.06 = 77,977.30 : x
  2. Step 2: Convert to fraction form
    144,505.84/216,759.06 = 77,977.30/x
  3. Step 3: Cross multiply
    144,505.84x = 216,759.06 × 77,977.30
  4. Step 4: Simplify right side
    144,505.84x = 16,902,286,249.34
  5. Step 5: Solve for x
    x = 16,902,286,249.34/144,505.84
  6. Step 6: Final answer
    x = 116,966.11

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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.