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Finding the Fourth Proportional to 107,496.88, 148,360.66 and 77,381.88

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Solution

The fourth proportional to 107,496.88, 148,360.66 and 77,381.88 is: 106,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,496.88 : 148,360.66 = 77,381.88 : x
  2. Step 2: Convert to fraction form
    107,496.88/148,360.66 = 77,381.88/x
  3. Step 3: Cross multiply
    107,496.88x = 148,360.66 × 77,381.88
  4. Step 4: Simplify right side
    107,496.88x = 11,480,426,788.84
  5. Step 5: Solve for x
    x = 11,480,426,788.84/107,496.88
  6. Step 6: Final answer
    x = 106,797.77

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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.