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Finding the Fourth Proportional to 115,390.84, 159,239.10 and 65,089.48

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Solution

The fourth proportional to 115,390.84, 159,239.10 and 65,089.48 is: 89,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,390.84 : 159,239.10 = 65,089.48 : x
  2. Step 2: Convert to fraction form
    115,390.84/159,239.10 = 65,089.48/x
  3. Step 3: Cross multiply
    115,390.84x = 159,239.10 × 65,089.48
  4. Step 4: Simplify right side
    115,390.84x = 10,364,790,214.67
  5. Step 5: Solve for x
    x = 10,364,790,214.67/115,390.84
  6. Step 6: Final answer
    x = 89,823.34

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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.