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Finding the Fourth Proportional to 77,267.32, 106,623.77 and 42,809.77

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Solution

The fourth proportional to 77,267.32, 106,623.77 and 42,809.77 is: 59,074.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,267.32 : 106,623.77 = 42,809.77 : x
  2. Step 2: Convert to fraction form
    77,267.32/106,623.77 = 42,809.77/x
  3. Step 3: Cross multiply
    77,267.32x = 106,623.77 × 42,809.77
  4. Step 4: Simplify right side
    77,267.32x = 4,564,538,510.11
  5. Step 5: Solve for x
    x = 4,564,538,510.11/77,267.32
  6. Step 6: Final answer
    x = 59,074.63

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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.