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Finding the Fourth Proportional to 210,551.72, 315,827.58 and 105,264.68

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Solution

The fourth proportional to 210,551.72, 315,827.58 and 105,264.68 is: 157,897.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,551.72 : 315,827.58 = 105,264.68 : x
  2. Step 2: Convert to fraction form
    210,551.72/315,827.58 = 105,264.68/x
  3. Step 3: Cross multiply
    210,551.72x = 315,827.58 × 105,264.68
  4. Step 4: Simplify right side
    210,551.72x = 33,245,489,143.87
  5. Step 5: Solve for x
    x = 33,245,489,143.87/210,551.72
  6. Step 6: Final answer
    x = 157,897.02

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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.