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Finding the Fourth Proportional to 145,909.76, 218,921.74 and 57,147.93

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Solution

The fourth proportional to 145,909.76, 218,921.74 and 57,147.93 is: 85,744.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,909.76 : 218,921.74 = 57,147.93 : x
  2. Step 2: Convert to fraction form
    145,909.76/218,921.74 = 57,147.93/x
  3. Step 3: Cross multiply
    145,909.76x = 218,921.74 × 57,147.93
  4. Step 4: Simplify right side
    145,909.76x = 12,510,924,130.13
  5. Step 5: Solve for x
    x = 12,510,924,130.13/145,909.76
  6. Step 6: Final answer
    x = 85,744.26

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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.