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Finding the Fourth Proportional to 100,914, 139,265.64 and 56,202

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Solution

The fourth proportional to 100,914, 139,265.64 and 56,202 is: 77,561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,914 : 139,265.64 = 56,202 : x
  2. Step 2: Convert to fraction form
    100,914/139,265.64 = 56,202/x
  3. Step 3: Cross multiply
    100,914x = 139,265.64 × 56,202
  4. Step 4: Simplify right side
    100,914x = 7,827,007,499.28
  5. Step 5: Solve for x
    x = 7,827,007,499.28/100,914
  6. Step 6: Final answer
    x = 77,561.17

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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.