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Finding the Fourth Proportional to 105,903.88, 146,023.88 and 78,999.68

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Solution

The fourth proportional to 105,903.88, 146,023.88 and 78,999.68 is: 108,927.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,903.88 : 146,023.88 = 78,999.68 : x
  2. Step 2: Convert to fraction form
    105,903.88/146,023.88 = 78,999.68/x
  3. Step 3: Cross multiply
    105,903.88x = 146,023.88 × 78,999.68
  4. Step 4: Simplify right side
    105,903.88x = 11,535,839,792.36
  5. Step 5: Solve for x
    x = 11,535,839,792.36/105,903.88
  6. Step 6: Final answer
    x = 108,927.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.