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Finding the Fourth Proportional to 145,077.98, 217,485.66 and 51,561.86

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Solution

The fourth proportional to 145,077.98, 217,485.66 and 51,561.86 is: 77,296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,077.98 : 217,485.66 = 51,561.86 : x
  2. Step 2: Convert to fraction form
    145,077.98/217,485.66 = 51,561.86/x
  3. Step 3: Cross multiply
    145,077.98x = 217,485.66 × 51,561.86
  4. Step 4: Simplify right side
    145,077.98x = 11,213,965,152.93
  5. Step 5: Solve for x
    x = 11,213,965,152.93/145,077.98
  6. Step 6: Final answer
    x = 77,296.12

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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.