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Finding the Fourth Proportional to 115,981.66, 160,051.95 and 68,238.07

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Solution

The fourth proportional to 115,981.66, 160,051.95 and 68,238.07 is: 94,166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,981.66 : 160,051.95 = 68,238.07 : x
  2. Step 2: Convert to fraction form
    115,981.66/160,051.95 = 68,238.07/x
  3. Step 3: Cross multiply
    115,981.66x = 160,051.95 × 68,238.07
  4. Step 4: Simplify right side
    115,981.66x = 10,921,636,167.74
  5. Step 5: Solve for x
    x = 10,921,636,167.74/115,981.66
  6. Step 6: Final answer
    x = 94,166.92

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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.