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Finding the Fourth Proportional to 109,713.84, 151,395.84 and 64,386.96

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Solution

The fourth proportional to 109,713.84, 151,395.84 and 64,386.96 is: 88,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,713.84 : 151,395.84 = 64,386.96 : x
  2. Step 2: Convert to fraction form
    109,713.84/151,395.84 = 64,386.96/x
  3. Step 3: Cross multiply
    109,713.84x = 151,395.84 × 64,386.96
  4. Step 4: Simplify right side
    109,713.84x = 9,747,917,894.25
  5. Step 5: Solve for x
    x = 9,747,917,894.25/109,713.84
  6. Step 6: Final answer
    x = 88,848.57

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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.