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Finding the Fourth Proportional to 77,468.55, 106,929.50 and 45,647.70

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Solution

The fourth proportional to 77,468.55, 106,929.50 and 45,647.70 is: 63,007.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,468.55 : 106,929.50 = 45,647.70 : x
  2. Step 2: Convert to fraction form
    77,468.55/106,929.50 = 45,647.70/x
  3. Step 3: Cross multiply
    77,468.55x = 106,929.50 × 45,647.70
  4. Step 4: Simplify right side
    77,468.55x = 4,881,085,508.91
  5. Step 5: Solve for x
    x = 4,881,085,508.91/77,468.55
  6. Step 6: Final answer
    x = 63,007.32

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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.