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Finding the Fourth Proportional to 105,735.97, 145,915.65 and 57,990.32

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Solution

The fourth proportional to 105,735.97, 145,915.65 and 57,990.32 is: 80,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,735.97 : 145,915.65 = 57,990.32 : x
  2. Step 2: Convert to fraction form
    105,735.97/145,915.65 = 57,990.32/x
  3. Step 3: Cross multiply
    105,735.97x = 145,915.65 × 57,990.32
  4. Step 4: Simplify right side
    105,735.97x = 8,461,695,236.51
  5. Step 5: Solve for x
    x = 8,461,695,236.51/105,735.97
  6. Step 6: Final answer
    x = 80,026.65

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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.