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Finding the Fourth Proportional to 89,420.81, 123,390.81 and 71,509.28

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Solution

The fourth proportional to 89,420.81, 123,390.81 and 71,509.28 is: 98,674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,420.81 : 123,390.81 = 71,509.28 : x
  2. Step 2: Convert to fraction form
    89,420.81/123,390.81 = 71,509.28/x
  3. Step 3: Cross multiply
    89,420.81x = 123,390.81 × 71,509.28
  4. Step 4: Simplify right side
    89,420.81x = 8,823,587,364.76
  5. Step 5: Solve for x
    x = 8,823,587,364.76/89,420.81
  6. Step 6: Final answer
    x = 98,674.88

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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.