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Finding the Fourth Proportional to 85,407.45, 128,188.91 and 45,459.98

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Solution

The fourth proportional to 85,407.45, 128,188.91 and 45,459.98 is: 68,231.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,407.45 : 128,188.91 = 45,459.98 : x
  2. Step 2: Convert to fraction form
    85,407.45/128,188.91 = 45,459.98/x
  3. Step 3: Cross multiply
    85,407.45x = 128,188.91 × 45,459.98
  4. Step 4: Simplify right side
    85,407.45x = 5,827,465,238.24
  5. Step 5: Solve for x
    x = 5,827,465,238.24/85,407.45
  6. Step 6: Final answer
    x = 68,231.35

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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.