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Finding the Fourth Proportional to 74,643, 111,966.66 and 19,239

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Solution

The fourth proportional to 74,643, 111,966.66 and 19,239 is: 28,859.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,643 : 111,966.66 = 19,239 : x
  2. Step 2: Convert to fraction form
    74,643/111,966.66 = 19,239/x
  3. Step 3: Cross multiply
    74,643x = 111,966.66 × 19,239
  4. Step 4: Simplify right side
    74,643x = 2,154,126,571.74
  5. Step 5: Solve for x
    x = 2,154,126,571.74/74,643
  6. Step 6: Final answer
    x = 28,859.06

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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.