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Finding the Fourth Proportional to 105,735.76, 145,910.28 and 57,980.24

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Solution

The fourth proportional to 105,735.76, 145,910.28 and 57,980.24 is: 80,009.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,735.76 : 145,910.28 = 57,980.24 : x
  2. Step 2: Convert to fraction form
    105,735.76/145,910.28 = 57,980.24/x
  3. Step 3: Cross multiply
    105,735.76x = 145,910.28 × 57,980.24
  4. Step 4: Simplify right side
    105,735.76x = 8,459,913,052.87
  5. Step 5: Solve for x
    x = 8,459,913,052.87/105,735.76
  6. Step 6: Final answer
    x = 80,009.95

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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.