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Finding the Fourth Proportional to 105,021.80, 157,547.10 and 34,893.80

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Solution

The fourth proportional to 105,021.80, 157,547.10 and 34,893.80 is: 52,345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,021.80 : 157,547.10 = 34,893.80 : x
  2. Step 2: Convert to fraction form
    105,021.80/157,547.10 = 34,893.80/x
  3. Step 3: Cross multiply
    105,021.80x = 157,547.10 × 34,893.80
  4. Step 4: Simplify right side
    105,021.80x = 5,497,416,997.98
  5. Step 5: Solve for x
    x = 5,497,416,997.98/105,021.80
  6. Step 6: Final answer
    x = 52,345.48

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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.