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Finding the Fourth Proportional to 85,410.30, 128,115.45 and 57,416.70

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Solution

The fourth proportional to 85,410.30, 128,115.45 and 57,416.70 is: 86,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,410.30 : 128,115.45 = 57,416.70 : x
  2. Step 2: Convert to fraction form
    85,410.30/128,115.45 = 57,416.70/x
  3. Step 3: Cross multiply
    85,410.30x = 128,115.45 × 57,416.70
  4. Step 4: Simplify right side
    85,410.30x = 7,355,966,358.02
  5. Step 5: Solve for x
    x = 7,355,966,358.02/85,410.30
  6. Step 6: Final answer
    x = 86,125.05

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1.5x scale

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.