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Finding the Fourth Proportional to 42,642.40, 63,975.90 and 13,064.59

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Solution

The fourth proportional to 42,642.40, 63,975.90 and 13,064.59 is: 19,600.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,642.40 : 63,975.90 = 13,064.59 : x
  2. Step 2: Convert to fraction form
    42,642.40/63,975.90 = 13,064.59/x
  3. Step 3: Cross multiply
    42,642.40x = 63,975.90 × 13,064.59
  4. Step 4: Simplify right side
    42,642.40x = 835,818,995.60
  5. Step 5: Solve for x
    x = 835,818,995.60/42,642.40
  6. Step 6: Final answer
    x = 19,600.66

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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.