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Finding the Fourth Proportional to 82,970.96, 114,501.60 and 51,138.08

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Solution

The fourth proportional to 82,970.96, 114,501.60 and 51,138.08 is: 70,571.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,970.96 : 114,501.60 = 51,138.08 : x
  2. Step 2: Convert to fraction form
    82,970.96/114,501.60 = 51,138.08/x
  3. Step 3: Cross multiply
    82,970.96x = 114,501.60 × 51,138.08
  4. Step 4: Simplify right side
    82,970.96x = 5,855,391,980.93
  5. Step 5: Solve for x
    x = 5,855,391,980.93/82,970.96
  6. Step 6: Final answer
    x = 70,571.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.