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Finding the Fourth Proportional to 210,588.93, 315,767.72 and 103,737.78

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Solution

The fourth proportional to 210,588.93, 315,767.72 and 103,737.78 is: 155,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,588.93 : 315,767.72 = 103,737.78 : x
  2. Step 2: Convert to fraction form
    210,588.93/315,767.72 = 103,737.78/x
  3. Step 3: Cross multiply
    210,588.93x = 315,767.72 × 103,737.78
  4. Step 4: Simplify right side
    210,588.93x = 32,757,041,749.77
  5. Step 5: Solve for x
    x = 32,757,041,749.77/210,588.93
  6. Step 6: Final answer
    x = 155,549.69

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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.