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Finding the Fourth Proportional to 65,802.97, 98,712.66 and 21,417.81

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Solution

The fourth proportional to 65,802.97, 98,712.66 and 21,417.81 is: 32,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,802.97 : 98,712.66 = 21,417.81 : x
  2. Step 2: Convert to fraction form
    65,802.97/98,712.66 = 21,417.81/x
  3. Step 3: Cross multiply
    65,802.97x = 98,712.66 × 21,417.81
  4. Step 4: Simplify right side
    65,802.97x = 2,114,208,996.47
  5. Step 5: Solve for x
    x = 2,114,208,996.47/65,802.97
  6. Step 6: Final answer
    x = 32,129.39

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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.