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Finding the Fourth Proportional to 77,521.14, 106,978.77 and 43,530.12

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Solution

The fourth proportional to 77,521.14, 106,978.77 and 43,530.12 is: 60,071.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,521.14 : 106,978.77 = 43,530.12 : x
  2. Step 2: Convert to fraction form
    77,521.14/106,978.77 = 43,530.12/x
  3. Step 3: Cross multiply
    77,521.14x = 106,978.77 × 43,530.12
  4. Step 4: Simplify right side
    77,521.14x = 4,656,798,695.55
  5. Step 5: Solve for x
    x = 4,656,798,695.55/77,521.14
  6. Step 6: Final answer
    x = 60,071.34

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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.