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Finding the Fourth Proportional to 42,706.28, 64,061.04 and 11,541.54

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Solution

The fourth proportional to 42,706.28, 64,061.04 and 11,541.54 is: 17,312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,706.28 : 64,061.04 = 11,541.54 : x
  2. Step 2: Convert to fraction form
    42,706.28/64,061.04 = 11,541.54/x
  3. Step 3: Cross multiply
    42,706.28x = 64,061.04 × 11,541.54
  4. Step 4: Simplify right side
    42,706.28x = 739,363,055.60
  5. Step 5: Solve for x
    x = 739,363,055.60/42,706.28
  6. Step 6: Final answer
    x = 17,312.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.