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Finding the Fourth Proportional to 73,121.60, 109,668.52 and 35,643.98

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Solution

The fourth proportional to 73,121.60, 109,668.52 and 35,643.98 is: 53,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,121.60 : 109,668.52 = 35,643.98 : x
  2. Step 2: Convert to fraction form
    73,121.60/109,668.52 = 35,643.98/x
  3. Step 3: Cross multiply
    73,121.60x = 109,668.52 × 35,643.98
  4. Step 4: Simplify right side
    73,121.60x = 3,909,021,985.17
  5. Step 5: Solve for x
    x = 3,909,021,985.17/73,121.60
  6. Step 6: Final answer
    x = 53,459.20

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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.