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Finding the Fourth Proportional to 154,371, 213,031.98 and 83,715

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Solution

The fourth proportional to 154,371, 213,031.98 and 83,715 is: 115,526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,371 : 213,031.98 = 83,715 : x
  2. Step 2: Convert to fraction form
    154,371/213,031.98 = 83,715/x
  3. Step 3: Cross multiply
    154,371x = 213,031.98 × 83,715
  4. Step 4: Simplify right side
    154,371x = 17,833,972,205.70
  5. Step 5: Solve for x
    x = 17,833,972,205.70/154,371
  6. Step 6: Final answer
    x = 115,526.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.