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Finding the Fourth Proportional to 111,683, 154,122.54 and 61,382

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Solution

The fourth proportional to 111,683, 154,122.54 and 61,382 is: 84,707.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,683 : 154,122.54 = 61,382 : x
  2. Step 2: Convert to fraction form
    111,683/154,122.54 = 61,382/x
  3. Step 3: Cross multiply
    111,683x = 154,122.54 × 61,382
  4. Step 4: Simplify right side
    111,683x = 9,460,349,750.28
  5. Step 5: Solve for x
    x = 9,460,349,750.28/111,683
  6. Step 6: Final answer
    x = 84,707.16

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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.