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Finding the Fourth Proportional to 102,562.40, 153,843.60 and 99,970.40

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Solution

The fourth proportional to 102,562.40, 153,843.60 and 99,970.40 is: 149,955.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,562.40 : 153,843.60 = 99,970.40 : x
  2. Step 2: Convert to fraction form
    102,562.40/153,843.60 = 99,970.40/x
  3. Step 3: Cross multiply
    102,562.40x = 153,843.60 × 99,970.40
  4. Step 4: Simplify right side
    102,562.40x = 15,379,806,229.44
  5. Step 5: Solve for x
    x = 15,379,806,229.44/102,562.40
  6. Step 6: Final answer
    x = 149,955.60

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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.