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Finding the Fourth Proportional to 85,732.30, 128,618.70 and 35,784.64

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Solution

The fourth proportional to 85,732.30, 128,618.70 and 35,784.64 is: 53,685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,732.30 : 128,618.70 = 35,784.64 : x
  2. Step 2: Convert to fraction form
    85,732.30/128,618.70 = 35,784.64/x
  3. Step 3: Cross multiply
    85,732.30x = 128,618.70 × 35,784.64
  4. Step 4: Simplify right side
    85,732.30x = 4,602,573,876.77
  5. Step 5: Solve for x
    x = 4,602,573,876.77/85,732.30
  6. Step 6: Final answer
    x = 53,685.41

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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.