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Finding the Fourth Proportional to 98,689, 136,192.74 and 53,977.96

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Solution

The fourth proportional to 98,689, 136,192.74 and 53,977.96 is: 74,490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,689 : 136,192.74 = 53,977.96 : x
  2. Step 2: Convert to fraction form
    98,689/136,192.74 = 53,977.96/x
  3. Step 3: Cross multiply
    98,689x = 136,192.74 × 53,977.96
  4. Step 4: Simplify right side
    98,689x = 7,351,406,272.01
  5. Step 5: Solve for x
    x = 7,351,406,272.01/98,689
  6. Step 6: Final answer
    x = 74,490.63

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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.