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Finding the Fourth Proportional to 258,585.94, 387,803.12 and 100,776.70

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Solution

The fourth proportional to 258,585.94, 387,803.12 and 100,776.70 is: 151,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,585.94 : 387,803.12 = 100,776.70 : x
  2. Step 2: Convert to fraction form
    258,585.94/387,803.12 = 100,776.70/x
  3. Step 3: Cross multiply
    258,585.94x = 387,803.12 × 100,776.70
  4. Step 4: Simplify right side
    258,585.94x = 39,081,518,683.30
  5. Step 5: Solve for x
    x = 39,081,518,683.30/258,585.94
  6. Step 6: Final answer
    x = 151,135.51

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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.