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Finding the Fourth Proportional to 85,718.83, 128,598.77 and 35,771.14

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Solution

The fourth proportional to 85,718.83, 128,598.77 and 35,771.14 is: 53,665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,718.83 : 128,598.77 = 35,771.14 : x
  2. Step 2: Convert to fraction form
    85,718.83/128,598.77 = 35,771.14/x
  3. Step 3: Cross multiply
    85,718.83x = 128,598.77 × 35,771.14
  4. Step 4: Simplify right side
    85,718.83x = 4,600,124,605.50
  5. Step 5: Solve for x
    x = 4,600,124,605.50/85,718.83
  6. Step 6: Final answer
    x = 53,665.28

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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.