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Finding the Fourth Proportional to 475,021.62, 712,579.20 and 138,065.21

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Solution

The fourth proportional to 475,021.62, 712,579.20 and 138,065.21 is: 207,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,021.62 : 712,579.20 = 138,065.21 : x
  2. Step 2: Convert to fraction form
    475,021.62/712,579.20 = 138,065.21/x
  3. Step 3: Cross multiply
    475,021.62x = 712,579.20 × 138,065.21
  4. Step 4: Simplify right side
    475,021.62x = 98,382,393,326.74
  5. Step 5: Solve for x
    x = 98,382,393,326.74/475,021.62
  6. Step 6: Final answer
    x = 207,111.40

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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.