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Finding the Fourth Proportional to 210,585.31, 315,762.29 and 103,734.16

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Solution

The fourth proportional to 210,585.31, 315,762.29 and 103,734.16 is: 155,544.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,585.31 : 315,762.29 = 103,734.16 : x
  2. Step 2: Convert to fraction form
    210,585.31/315,762.29 = 103,734.16/x
  3. Step 3: Cross multiply
    210,585.31x = 315,762.29 × 103,734.16
  4. Step 4: Simplify right side
    210,585.31x = 32,755,337,356.27
  5. Step 5: Solve for x
    x = 32,755,337,356.27/210,585.31
  6. Step 6: Final answer
    x = 155,544.26

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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.