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Finding the Fourth Proportional to 105,293.40, 158,650.48 and 86,983.60

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Solution

The fourth proportional to 105,293.40, 158,650.48 and 86,983.60 is: 131,062.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,293.40 : 158,650.48 = 86,983.60 : x
  2. Step 2: Convert to fraction form
    105,293.40/158,650.48 = 86,983.60/x
  3. Step 3: Cross multiply
    105,293.40x = 158,650.48 × 86,983.60
  4. Step 4: Simplify right side
    105,293.40x = 13,799,989,892.13
  5. Step 5: Solve for x
    x = 13,799,989,892.13/105,293.40
  6. Step 6: Final answer
    x = 131,062.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.