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Finding the Fourth Proportional to 210,448.56, 315,638.82 and 77,295.90

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Solution

The fourth proportional to 210,448.56, 315,638.82 and 77,295.90 is: 115,931.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,448.56 : 315,638.82 = 77,295.90 : x
  2. Step 2: Convert to fraction form
    210,448.56/315,638.82 = 77,295.90/x
  3. Step 3: Cross multiply
    210,448.56x = 315,638.82 × 77,295.90
  4. Step 4: Simplify right side
    210,448.56x = 24,397,586,666.84
  5. Step 5: Solve for x
    x = 24,397,586,666.84/210,448.56
  6. Step 6: Final answer
    x = 115,931.35

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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.