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Finding the Fourth Proportional to 189,089.46, 260,943.51 and 103,048.47

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Solution

The fourth proportional to 189,089.46, 260,943.51 and 103,048.47 is: 142,206.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,089.46 : 260,943.51 = 103,048.47 : x
  2. Step 2: Convert to fraction form
    189,089.46/260,943.51 = 103,048.47/x
  3. Step 3: Cross multiply
    189,089.46x = 260,943.51 × 103,048.47
  4. Step 4: Simplify right side
    189,089.46x = 26,889,829,461.93
  5. Step 5: Solve for x
    x = 26,889,829,461.93/189,089.46
  6. Step 6: Final answer
    x = 142,206.92

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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.