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Finding the Fourth Proportional to 189,089.18, 260,943.10 and 103,048.18

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Solution

The fourth proportional to 189,089.18, 260,943.10 and 103,048.18 is: 142,206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,089.18 : 260,943.10 = 103,048.18 : x
  2. Step 2: Convert to fraction form
    189,089.18/260,943.10 = 103,048.18/x
  3. Step 3: Cross multiply
    189,089.18x = 260,943.10 × 103,048.18
  4. Step 4: Simplify right side
    189,089.18x = 26,889,711,538.56
  5. Step 5: Solve for x
    x = 26,889,711,538.56/189,089.18
  6. Step 6: Final answer
    x = 142,206.51

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1.5x scale

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.