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Finding the Fourth Proportional to 86,116.42, 118,898.65 and 77,013.54

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Solution

The fourth proportional to 86,116.42, 118,898.65 and 77,013.54 is: 106,330.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,116.42 : 118,898.65 = 77,013.54 : x
  2. Step 2: Convert to fraction form
    86,116.42/118,898.65 = 77,013.54/x
  3. Step 3: Cross multiply
    86,116.42x = 118,898.65 × 77,013.54
  4. Step 4: Simplify right side
    86,116.42x = 9,156,806,033.99
  5. Step 5: Solve for x
    x = 9,156,806,033.99/86,116.42
  6. Step 6: Final answer
    x = 106,330.55

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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.