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Finding the Fourth Proportional to 189,970.84, 262,158.69 and 105,086.08

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Solution

The fourth proportional to 189,970.84, 262,158.69 and 105,086.08 is: 145,018.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,970.84 : 262,158.69 = 105,086.08 : x
  2. Step 2: Convert to fraction form
    189,970.84/262,158.69 = 105,086.08/x
  3. Step 3: Cross multiply
    189,970.84x = 262,158.69 × 105,086.08
  4. Step 4: Simplify right side
    189,970.84x = 27,549,229,070.04
  5. Step 5: Solve for x
    x = 27,549,229,070.04/189,970.84
  6. Step 6: Final answer
    x = 145,018.20

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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.