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Finding the Fourth Proportional to 258,861.02, 357,223.97 and 145,683.77

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Solution

The fourth proportional to 258,861.02, 357,223.97 and 145,683.77 is: 201,041.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,861.02 : 357,223.97 = 145,683.77 : x
  2. Step 2: Convert to fraction form
    258,861.02/357,223.97 = 145,683.77/x
  3. Step 3: Cross multiply
    258,861.02x = 357,223.97 × 145,683.77
  4. Step 4: Simplify right side
    258,861.02x = 52,041,733,262.06
  5. Step 5: Solve for x
    x = 52,041,733,262.06/258,861.02
  6. Step 6: Final answer
    x = 201,041.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.