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Finding the Fourth Proportional to 144,291.69, 216,486.74 and 77,738.65

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Solution

The fourth proportional to 144,291.69, 216,486.74 and 77,738.65 is: 116,634.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,291.69 : 216,486.74 = 77,738.65 : x
  2. Step 2: Convert to fraction form
    144,291.69/216,486.74 = 77,738.65/x
  3. Step 3: Cross multiply
    144,291.69x = 216,486.74 × 77,738.65
  4. Step 4: Simplify right side
    144,291.69x = 16,829,386,563.63
  5. Step 5: Solve for x
    x = 16,829,386,563.63/144,291.69
  6. Step 6: Final answer
    x = 116,634.48

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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.