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Finding the Fourth Proportional to 137,410.29, 205,810.93 and 105,586.10

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Solution

The fourth proportional to 137,410.29, 205,810.93 and 105,586.10 is: 158,145.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,410.29 : 205,810.93 = 105,586.10 : x
  2. Step 2: Convert to fraction form
    137,410.29/205,810.93 = 105,586.10/x
  3. Step 3: Cross multiply
    137,410.29x = 205,810.93 × 105,586.10
  4. Step 4: Simplify right side
    137,410.29x = 21,730,772,716.87
  5. Step 5: Solve for x
    x = 21,730,772,716.87/137,410.29
  6. Step 6: Final answer
    x = 158,145.16

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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.