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Finding the Fourth Proportional to 106,909.80, 160,364.70 and 102,359.40

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Solution

The fourth proportional to 106,909.80, 160,364.70 and 102,359.40 is: 153,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,909.80 : 160,364.70 = 102,359.40 : x
  2. Step 2: Convert to fraction form
    106,909.80/160,364.70 = 102,359.40/x
  3. Step 3: Cross multiply
    106,909.80x = 160,364.70 × 102,359.40
  4. Step 4: Simplify right side
    106,909.80x = 16,414,834,473.18
  5. Step 5: Solve for x
    x = 16,414,834,473.18/106,909.80
  6. Step 6: Final answer
    x = 153,539.10

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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.