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Finding the Fourth Proportional to 42,706.50, 64,059.78 and 11,541.78

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Solution

The fourth proportional to 42,706.50, 64,059.78 and 11,541.78 is: 17,312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,706.50 : 64,059.78 = 11,541.78 : x
  2. Step 2: Convert to fraction form
    42,706.50/64,059.78 = 11,541.78/x
  3. Step 3: Cross multiply
    42,706.50x = 64,059.78 × 11,541.78
  4. Step 4: Simplify right side
    42,706.50x = 739,363,887.61
  5. Step 5: Solve for x
    x = 739,363,887.61/42,706.50
  6. Step 6: Final answer
    x = 17,312.68

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1.5x scale

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.