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Finding the Fourth Proportional to 72,661.40, 100,275.27 and 40,829.66

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Solution

The fourth proportional to 72,661.40, 100,275.27 and 40,829.66 is: 56,346.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,661.40 : 100,275.27 = 40,829.66 : x
  2. Step 2: Convert to fraction form
    72,661.40/100,275.27 = 40,829.66/x
  3. Step 3: Cross multiply
    72,661.40x = 100,275.27 × 40,829.66
  4. Step 4: Simplify right side
    72,661.40x = 4,094,205,180.51
  5. Step 5: Solve for x
    x = 4,094,205,180.51/72,661.40
  6. Step 6: Final answer
    x = 56,346.36

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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.