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Finding the Fourth Proportional to 85,210.59, 127,674.63 and 51,829.68

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Solution

The fourth proportional to 85,210.59, 127,674.63 and 51,829.68 is: 77,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,210.59 : 127,674.63 = 51,829.68 : x
  2. Step 2: Convert to fraction form
    85,210.59/127,674.63 = 51,829.68/x
  3. Step 3: Cross multiply
    85,210.59x = 127,674.63 × 51,829.68
  4. Step 4: Simplify right side
    85,210.59x = 6,617,335,217.02
  5. Step 5: Solve for x
    x = 6,617,335,217.02/85,210.59
  6. Step 6: Final answer
    x = 77,658.60

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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.