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Finding the Fourth Proportional to 85,730.76, 128,629.86 and 26,571

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Solution

The fourth proportional to 85,730.76, 128,629.86 and 26,571 is: 39,866.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,730.76 : 128,629.86 = 26,571 : x
  2. Step 2: Convert to fraction form
    85,730.76/128,629.86 = 26,571/x
  3. Step 3: Cross multiply
    85,730.76x = 128,629.86 × 26,571
  4. Step 4: Simplify right side
    85,730.76x = 3,417,824,010.06
  5. Step 5: Solve for x
    x = 3,417,824,010.06/85,730.76
  6. Step 6: Final answer
    x = 39,866.95

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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.