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Finding the Fourth Proportional to 77,390.28, 106,798.62 and 45,578.76

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Solution

The fourth proportional to 77,390.28, 106,798.62 and 45,578.76 is: 62,898.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,390.28 : 106,798.62 = 45,578.76 : x
  2. Step 2: Convert to fraction form
    77,390.28/106,798.62 = 45,578.76/x
  3. Step 3: Cross multiply
    77,390.28x = 106,798.62 × 45,578.76
  4. Step 4: Simplify right side
    77,390.28x = 4,867,748,669.31
  5. Step 5: Solve for x
    x = 4,867,748,669.31/77,390.28
  6. Step 6: Final answer
    x = 62,898.71

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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.