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Finding the Fourth Proportional to 98,689.29, 147,820.70 and 51,843.75

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Solution

The fourth proportional to 98,689.29, 147,820.70 and 51,843.75 is: 77,653.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,689.29 : 147,820.70 = 51,843.75 : x
  2. Step 2: Convert to fraction form
    98,689.29/147,820.70 = 51,843.75/x
  3. Step 3: Cross multiply
    98,689.29x = 147,820.70 × 51,843.75
  4. Step 4: Simplify right side
    98,689.29x = 7,663,579,415.63
  5. Step 5: Solve for x
    x = 7,663,579,415.63/98,689.29
  6. Step 6: Final answer
    x = 77,653.61

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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.