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Finding the Fourth Proportional to 85,730.81, 128,575.45 and 35,783.84

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Solution

The fourth proportional to 85,730.81, 128,575.45 and 35,783.84 is: 53,667.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,730.81 : 128,575.45 = 35,783.84 : x
  2. Step 2: Convert to fraction form
    85,730.81/128,575.45 = 35,783.84/x
  3. Step 3: Cross multiply
    85,730.81x = 128,575.45 × 35,783.84
  4. Step 4: Simplify right side
    85,730.81x = 4,600,923,696.90
  5. Step 5: Solve for x
    x = 4,600,923,696.90/85,730.81
  6. Step 6: Final answer
    x = 53,667.10

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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.