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Finding the Fourth Proportional to 154,139.16, 212,777.44 and 93,729

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Solution

The fourth proportional to 154,139.16, 212,777.44 and 93,729 is: 129,385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,139.16 : 212,777.44 = 93,729 : x
  2. Step 2: Convert to fraction form
    154,139.16/212,777.44 = 93,729/x
  3. Step 3: Cross multiply
    154,139.16x = 212,777.44 × 93,729
  4. Step 4: Simplify right side
    154,139.16x = 19,943,416,673.76
  5. Step 5: Solve for x
    x = 19,943,416,673.76/154,139.16
  6. Step 6: Final answer
    x = 129,385.79

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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.