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Finding the Fourth Proportional to 105,775.71, 157,564.17 and 100,045.98

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Solution

The fourth proportional to 105,775.71, 157,564.17 and 100,045.98 is: 149,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,775.71 : 157,564.17 = 100,045.98 : x
  2. Step 2: Convert to fraction form
    105,775.71/157,564.17 = 100,045.98/x
  3. Step 3: Cross multiply
    105,775.71x = 157,564.17 × 100,045.98
  4. Step 4: Simplify right side
    105,775.71x = 15,763,661,800.54
  5. Step 5: Solve for x
    x = 15,763,661,800.54/105,775.71
  6. Step 6: Final answer
    x = 149,029.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.