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Finding the Fourth Proportional to 258,762.83, 357,089.05 and 145,585.31

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Solution

The fourth proportional to 258,762.83, 357,089.05 and 145,585.31 is: 200,905.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,762.83 : 357,089.05 = 145,585.31 : x
  2. Step 2: Convert to fraction form
    258,762.83/357,089.05 = 145,585.31/x
  3. Step 3: Cross multiply
    258,762.83x = 357,089.05 × 145,585.31
  4. Step 4: Simplify right side
    258,762.83x = 51,986,920,041.86
  5. Step 5: Solve for x
    x = 51,986,920,041.86/258,762.83
  6. Step 6: Final answer
    x = 200,905.67

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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.