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Finding the Fourth Proportional to 189,918, 262,095.08 and 105,035.13

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Solution

The fourth proportional to 189,918, 262,095.08 and 105,035.13 is: 144,953.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,918 : 262,095.08 = 105,035.13 : x
  2. Step 2: Convert to fraction form
    189,918/262,095.08 = 105,035.13/x
  3. Step 3: Cross multiply
    189,918x = 262,095.08 × 105,035.13
  4. Step 4: Simplify right side
    189,918x = 27,529,190,274.98
  5. Step 5: Solve for x
    x = 27,529,190,274.98/189,918
  6. Step 6: Final answer
    x = 144,953.03

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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.