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Finding the Fourth Proportional to 154,657.58, 213,530.27 and 118,783.49

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Solution

The fourth proportional to 154,657.58, 213,530.27 and 118,783.49 is: 164,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,657.58 : 213,530.27 = 118,783.49 : x
  2. Step 2: Convert to fraction form
    154,657.58/213,530.27 = 118,783.49/x
  3. Step 3: Cross multiply
    154,657.58x = 213,530.27 × 118,783.49
  4. Step 4: Simplify right side
    154,657.58x = 25,363,869,029.67
  5. Step 5: Solve for x
    x = 25,363,869,029.67/154,657.58
  6. Step 6: Final answer
    x = 164,000.17

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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.