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Finding the Fourth Proportional to 98,003.52, 135,203.48 and 65,312.16

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Solution

The fourth proportional to 98,003.52, 135,203.48 and 65,312.16 is: 90,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,003.52 : 135,203.48 = 65,312.16 : x
  2. Step 2: Convert to fraction form
    98,003.52/135,203.48 = 65,312.16/x
  3. Step 3: Cross multiply
    98,003.52x = 135,203.48 × 65,312.16
  4. Step 4: Simplify right side
    98,003.52x = 8,830,431,318.32
  5. Step 5: Solve for x
    x = 8,830,431,318.32/98,003.52
  6. Step 6: Final answer
    x = 90,103.21

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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.