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Finding the Fourth Proportional to 342,852.89, 514,180.02 and 102,957.11

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Solution

The fourth proportional to 342,852.89, 514,180.02 and 102,957.11 is: 154,405.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,852.89 : 514,180.02 = 102,957.11 : x
  2. Step 2: Convert to fraction form
    342,852.89/514,180.02 = 102,957.11/x
  3. Step 3: Cross multiply
    342,852.89x = 514,180.02 × 102,957.11
  4. Step 4: Simplify right side
    342,852.89x = 52,938,488,878.94
  5. Step 5: Solve for x
    x = 52,938,488,878.94/342,852.89
  6. Step 6: Final answer
    x = 154,405.84

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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.