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Finding the Fourth Proportional to 189,070.71, 260,914.21 and 103,030.44

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Solution

The fourth proportional to 189,070.71, 260,914.21 and 103,030.44 is: 142,180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,070.71 : 260,914.21 = 103,030.44 : x
  2. Step 2: Convert to fraction form
    189,070.71/260,914.21 = 103,030.44/x
  3. Step 3: Cross multiply
    189,070.71x = 260,914.21 × 103,030.44
  4. Step 4: Simplify right side
    189,070.71x = 26,882,105,858.55
  5. Step 5: Solve for x
    x = 26,882,105,858.55/189,070.71
  6. Step 6: Final answer
    x = 142,180.17

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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.