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Finding the Fourth Proportional to 105,798, 144,944.88 and 101,812.80

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Solution

The fourth proportional to 105,798, 144,944.88 and 101,812.80 is: 139,485.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,798 : 144,944.88 = 101,812.80 : x
  2. Step 2: Convert to fraction form
    105,798/144,944.88 = 101,812.80/x
  3. Step 3: Cross multiply
    105,798x = 144,944.88 × 101,812.80
  4. Step 4: Simplify right side
    105,798x = 14,757,244,078.46
  5. Step 5: Solve for x
    x = 14,757,244,078.46/105,798
  6. Step 6: Final answer
    x = 139,485.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.