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Finding the Fourth Proportional to 71,480, 98,642.48 and 41,677.76

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Solution

The fourth proportional to 71,480, 98,642.48 and 41,677.76 is: 57,515.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,480 : 98,642.48 = 41,677.76 : x
  2. Step 2: Convert to fraction form
    71,480/98,642.48 = 41,677.76/x
  3. Step 3: Cross multiply
    71,480x = 98,642.48 × 41,677.76
  4. Step 4: Simplify right side
    71,480x = 4,111,197,607.24
  5. Step 5: Solve for x
    x = 4,111,197,607.24/71,480
  6. Step 6: Final answer
    x = 57,515.36

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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.