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Finding the Fourth Proportional to 99,866.88, 137,802.24 and 57,409.92

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Solution

The fourth proportional to 99,866.88, 137,802.24 and 57,409.92 is: 79,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,866.88 : 137,802.24 = 57,409.92 : x
  2. Step 2: Convert to fraction form
    99,866.88/137,802.24 = 57,409.92/x
  3. Step 3: Cross multiply
    99,866.88x = 137,802.24 × 57,409.92
  4. Step 4: Simplify right side
    99,866.88x = 7,911,215,574.22
  5. Step 5: Solve for x
    x = 7,911,215,574.22/99,866.88
  6. Step 6: Final answer
    x = 79,217.61

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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.