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Finding the Fourth Proportional to 154,499.84, 213,212.80 and 100,819.20

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Solution

The fourth proportional to 154,499.84, 213,212.80 and 100,819.20 is: 139,132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,499.84 : 213,212.80 = 100,819.20 : x
  2. Step 2: Convert to fraction form
    154,499.84/213,212.80 = 100,819.20/x
  3. Step 3: Cross multiply
    154,499.84x = 213,212.80 × 100,819.20
  4. Step 4: Simplify right side
    154,499.84x = 21,495,943,925.76
  5. Step 5: Solve for x
    x = 21,495,943,925.76/154,499.84
  6. Step 6: Final answer
    x = 139,132.47

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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.