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Finding the Fourth Proportional to 105,029, 157,543.50 and 27,205

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Solution

The fourth proportional to 105,029, 157,543.50 and 27,205 is: 40,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,029 : 157,543.50 = 27,205 : x
  2. Step 2: Convert to fraction form
    105,029/157,543.50 = 27,205/x
  3. Step 3: Cross multiply
    105,029x = 157,543.50 × 27,205
  4. Step 4: Simplify right side
    105,029x = 4,285,970,917.50
  5. Step 5: Solve for x
    x = 4,285,970,917.50/105,029
  6. Step 6: Final answer
    x = 40,807.50

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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.