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Finding the Fourth Proportional to 145,765.59, 201,155.63 and 82,123.89

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Solution

The fourth proportional to 145,765.59, 201,155.63 and 82,123.89 is: 113,330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,765.59 : 201,155.63 = 82,123.89 : x
  2. Step 2: Convert to fraction form
    145,765.59/201,155.63 = 82,123.89/x
  3. Step 3: Cross multiply
    145,765.59x = 201,155.63 × 82,123.89
  4. Step 4: Simplify right side
    145,765.59x = 16,519,682,831.00
  5. Step 5: Solve for x
    x = 16,519,682,831.00/145,765.59
  6. Step 6: Final answer
    x = 113,330.47

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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.