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Finding the Fourth Proportional to 65,980.86, 98,963.49 and 18,599.51

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Solution

The fourth proportional to 65,980.86, 98,963.49 and 18,599.51 is: 27,897.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,980.86 : 98,963.49 = 18,599.51 : x
  2. Step 2: Convert to fraction form
    65,980.86/98,963.49 = 18,599.51/x
  3. Step 3: Cross multiply
    65,980.86x = 98,963.49 × 18,599.51
  4. Step 4: Simplify right side
    65,980.86x = 1,840,671,927.07
  5. Step 5: Solve for x
    x = 1,840,671,927.07/65,980.86
  6. Step 6: Final answer
    x = 27,897.06

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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.