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Finding the Fourth Proportional to 77,390.62, 106,707.88 and 71,651.82

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Solution

The fourth proportional to 77,390.62, 106,707.88 and 71,651.82 is: 98,795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,390.62 : 106,707.88 = 71,651.82 : x
  2. Step 2: Convert to fraction form
    77,390.62/106,707.88 = 71,651.82/x
  3. Step 3: Cross multiply
    77,390.62x = 106,707.88 × 71,651.82
  4. Step 4: Simplify right side
    77,390.62x = 7,645,813,810.34
  5. Step 5: Solve for x
    x = 7,645,813,810.34/77,390.62
  6. Step 6: Final answer
    x = 98,795.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.