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Finding the Fourth Proportional to 137,528, 189,788.64 and 77,912

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Solution

The fourth proportional to 137,528, 189,788.64 and 77,912 is: 107,518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,528 : 189,788.64 = 77,912 : x
  2. Step 2: Convert to fraction form
    137,528/189,788.64 = 77,912/x
  3. Step 3: Cross multiply
    137,528x = 189,788.64 × 77,912
  4. Step 4: Simplify right side
    137,528x = 14,786,812,519.68
  5. Step 5: Solve for x
    x = 14,786,812,519.68/137,528
  6. Step 6: Final answer
    x = 107,518.56

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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.