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Finding the Fourth Proportional to 103,509.92, 142,820.88 and 65,839.52

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Solution

The fourth proportional to 103,509.92, 142,820.88 and 65,839.52 is: 90,844.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,509.92 : 142,820.88 = 65,839.52 : x
  2. Step 2: Convert to fraction form
    103,509.92/142,820.88 = 65,839.52/x
  3. Step 3: Cross multiply
    103,509.92x = 142,820.88 × 65,839.52
  4. Step 4: Simplify right side
    103,509.92x = 9,403,258,185.18
  5. Step 5: Solve for x
    x = 9,403,258,185.18/103,509.92
  6. Step 6: Final answer
    x = 90,844.03

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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.