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Finding the Fourth Proportional to 81,777.60, 122,666.40 and 46,785.60

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Solution

The fourth proportional to 81,777.60, 122,666.40 and 46,785.60 is: 70,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,777.60 : 122,666.40 = 46,785.60 : x
  2. Step 2: Convert to fraction form
    81,777.60/122,666.40 = 46,785.60/x
  3. Step 3: Cross multiply
    81,777.60x = 122,666.40 × 46,785.60
  4. Step 4: Simplify right side
    81,777.60x = 5,739,021,123.84
  5. Step 5: Solve for x
    x = 5,739,021,123.84/81,777.60
  6. Step 6: Final answer
    x = 70,178.40

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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.