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Finding the Fourth Proportional to 210,535.16, 315,813.68 and 105,318.59

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Solution

The fourth proportional to 210,535.16, 315,813.68 and 105,318.59 is: 157,983.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,535.16 : 315,813.68 = 105,318.59 : x
  2. Step 2: Convert to fraction form
    210,535.16/315,813.68 = 105,318.59/x
  3. Step 3: Cross multiply
    210,535.16x = 315,813.68 × 105,318.59
  4. Step 4: Simplify right side
    210,535.16x = 33,261,050,953.72
  5. Step 5: Solve for x
    x = 33,261,050,953.72/210,535.16
  6. Step 6: Final answer
    x = 157,983.36

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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.