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Finding the Fourth Proportional to 99,721.87, 137,666.94 and 77,009.87

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Solution

The fourth proportional to 99,721.87, 137,666.94 and 77,009.87 is: 106,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,721.87 : 137,666.94 = 77,009.87 : x
  2. Step 2: Convert to fraction form
    99,721.87/137,666.94 = 77,009.87/x
  3. Step 3: Cross multiply
    99,721.87x = 137,666.94 × 77,009.87
  4. Step 4: Simplify right side
    99,721.87x = 10,601,713,152.70
  5. Step 5: Solve for x
    x = 10,601,713,152.70/99,721.87
  6. Step 6: Final answer
    x = 106,312.82

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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.