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Finding the Fourth Proportional to 85,575.64, 128,364 and 56,018.28

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Solution

The fourth proportional to 85,575.64, 128,364 and 56,018.28 is: 84,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,575.64 : 128,364 = 56,018.28 : x
  2. Step 2: Convert to fraction form
    85,575.64/128,364 = 56,018.28/x
  3. Step 3: Cross multiply
    85,575.64x = 128,364 × 56,018.28
  4. Step 4: Simplify right side
    85,575.64x = 7,190,730,493.92
  5. Step 5: Solve for x
    x = 7,190,730,493.92/85,575.64
  6. Step 6: Final answer
    x = 84,027.77

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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.