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Finding the Fourth Proportional to 77,326.76, 106,709.12 and 45,497.72

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Solution

The fourth proportional to 77,326.76, 106,709.12 and 45,497.72 is: 62,785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,326.76 : 106,709.12 = 45,497.72 : x
  2. Step 2: Convert to fraction form
    77,326.76/106,709.12 = 45,497.72/x
  3. Step 3: Cross multiply
    77,326.76x = 106,709.12 × 45,497.72
  4. Step 4: Simplify right side
    77,326.76x = 4,855,021,663.21
  5. Step 5: Solve for x
    x = 4,855,021,663.21/77,326.76
  6. Step 6: Final answer
    x = 62,785.79

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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.