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Finding the Fourth Proportional to 85,803.18, 128,705.54 and 35,230.02

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Solution

The fourth proportional to 85,803.18, 128,705.54 and 35,230.02 is: 52,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,803.18 : 128,705.54 = 35,230.02 : x
  2. Step 2: Convert to fraction form
    85,803.18/128,705.54 = 35,230.02/x
  3. Step 3: Cross multiply
    85,803.18x = 128,705.54 × 35,230.02
  4. Step 4: Simplify right side
    85,803.18x = 4,534,298,572.16
  5. Step 5: Solve for x
    x = 4,534,298,572.16/85,803.18
  6. Step 6: Final answer
    x = 52,845.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.