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Finding the Fourth Proportional to 109,898.80, 164,653.80 and 102,900.40

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Solution

The fourth proportional to 109,898.80, 164,653.80 and 102,900.40 is: 154,168.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,898.80 : 164,653.80 = 102,900.40 : x
  2. Step 2: Convert to fraction form
    109,898.80/164,653.80 = 102,900.40/x
  3. Step 3: Cross multiply
    109,898.80x = 164,653.80 × 102,900.40
  4. Step 4: Simplify right side
    109,898.80x = 16,942,941,881.52
  5. Step 5: Solve for x
    x = 16,942,941,881.52/109,898.80
  6. Step 6: Final answer
    x = 154,168.58

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1.5x scale

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.