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Finding the Fourth Proportional to 145,191.57, 217,795.55 and 51,697.32

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Solution

The fourth proportional to 145,191.57, 217,795.55 and 51,697.32 is: 77,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,191.57 : 217,795.55 = 51,697.32 : x
  2. Step 2: Convert to fraction form
    145,191.57/217,795.55 = 51,697.32/x
  3. Step 3: Cross multiply
    145,191.57x = 217,795.55 × 51,697.32
  4. Step 4: Simplify right side
    145,191.57x = 11,259,444,895.46
  5. Step 5: Solve for x
    x = 11,259,444,895.46/145,191.57
  6. Step 6: Final answer
    x = 77,548.89

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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.