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Finding the Fourth Proportional to 77,007, 106,269.66 and 43,473

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Solution

The fourth proportional to 77,007, 106,269.66 and 43,473 is: 59,992.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,007 : 106,269.66 = 43,473 : x
  2. Step 2: Convert to fraction form
    77,007/106,269.66 = 43,473/x
  3. Step 3: Cross multiply
    77,007x = 106,269.66 × 43,473
  4. Step 4: Simplify right side
    77,007x = 4,619,860,929.18
  5. Step 5: Solve for x
    x = 4,619,860,929.18/77,007
  6. Step 6: Final answer
    x = 59,992.74

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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.