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Finding the Fourth Proportional to 105,133.18, 157,639.16 and 71,893.51

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Solution

The fourth proportional to 105,133.18, 157,639.16 and 71,893.51 is: 107,798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,133.18 : 157,639.16 = 71,893.51 : x
  2. Step 2: Convert to fraction form
    105,133.18/157,639.16 = 71,893.51/x
  3. Step 3: Cross multiply
    105,133.18x = 157,639.16 × 71,893.51
  4. Step 4: Simplify right side
    105,133.18x = 11,333,232,525.85
  5. Step 5: Solve for x
    x = 11,333,232,525.85/105,133.18
  6. Step 6: Final answer
    x = 107,798.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.