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Finding the Fourth Proportional to 77,386, 106,792.68 and 45,574.60

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Solution

The fourth proportional to 77,386, 106,792.68 and 45,574.60 is: 62,892.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,386 : 106,792.68 = 45,574.60 : x
  2. Step 2: Convert to fraction form
    77,386/106,792.68 = 45,574.60/x
  3. Step 3: Cross multiply
    77,386x = 106,792.68 × 45,574.60
  4. Step 4: Simplify right side
    77,386x = 4,867,033,673.93
  5. Step 5: Solve for x
    x = 4,867,033,673.93/77,386
  6. Step 6: Final answer
    x = 62,892.95

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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.