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Finding the Fourth Proportional to 117,660.13, 162,368.16 and 65,973.78

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Solution

The fourth proportional to 117,660.13, 162,368.16 and 65,973.78 is: 91,042.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,660.13 : 162,368.16 = 65,973.78 : x
  2. Step 2: Convert to fraction form
    117,660.13/162,368.16 = 65,973.78/x
  3. Step 3: Cross multiply
    117,660.13x = 162,368.16 × 65,973.78
  4. Step 4: Simplify right side
    117,660.13x = 10,712,041,266.84
  5. Step 5: Solve for x
    x = 10,712,041,266.84/117,660.13
  6. Step 6: Final answer
    x = 91,042.24

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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.