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Finding the Fourth Proportional to 76,201.40, 114,431.70 and 56,502.20

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Solution

The fourth proportional to 76,201.40, 114,431.70 and 56,502.20 is: 84,849.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,201.40 : 114,431.70 = 56,502.20 : x
  2. Step 2: Convert to fraction form
    76,201.40/114,431.70 = 56,502.20/x
  3. Step 3: Cross multiply
    76,201.40x = 114,431.70 × 56,502.20
  4. Step 4: Simplify right side
    76,201.40x = 6,465,642,799.74
  5. Step 5: Solve for x
    x = 6,465,642,799.74/76,201.40
  6. Step 6: Final answer
    x = 84,849.40

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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.