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Finding the Fourth Proportional to 138,786.40, 191,526.16 and 77,532.56

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Solution

The fourth proportional to 138,786.40, 191,526.16 and 77,532.56 is: 106,995.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,786.40 : 191,526.16 = 77,532.56 : x
  2. Step 2: Convert to fraction form
    138,786.40/191,526.16 = 77,532.56/x
  3. Step 3: Cross multiply
    138,786.40x = 191,526.16 × 77,532.56
  4. Step 4: Simplify right side
    138,786.40x = 14,849,513,491.77
  5. Step 5: Solve for x
    x = 14,849,513,491.77/138,786.40
  6. Step 6: Final answer
    x = 106,995.45

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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.