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Finding the Fourth Proportional to 145,178.52, 217,798.56 and 51,684

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Solution

The fourth proportional to 145,178.52, 217,798.56 and 51,684 is: 77,536.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,178.52 : 217,798.56 = 51,684 : x
  2. Step 2: Convert to fraction form
    145,178.52/217,798.56 = 51,684/x
  3. Step 3: Cross multiply
    145,178.52x = 217,798.56 × 51,684
  4. Step 4: Simplify right side
    145,178.52x = 11,256,700,775.04
  5. Step 5: Solve for x
    x = 11,256,700,775.04/145,178.52
  6. Step 6: Final answer
    x = 77,536.96

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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.