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Finding the Fourth Proportional to 77,658.94, 116,317.65 and 64,179.16

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Solution

The fourth proportional to 77,658.94, 116,317.65 and 64,179.16 is: 96,127.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,658.94 : 116,317.65 = 64,179.16 : x
  2. Step 2: Convert to fraction form
    77,658.94/116,317.65 = 64,179.16/x
  3. Step 3: Cross multiply
    77,658.94x = 116,317.65 × 64,179.16
  4. Step 4: Simplify right side
    77,658.94x = 7,465,168,488.59
  5. Step 5: Solve for x
    x = 7,465,168,488.59/77,658.94
  6. Step 6: Final answer
    x = 96,127.62

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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.