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Finding the Fourth Proportional to 112,959.40, 169,439.10 and 106,047.40

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Solution

The fourth proportional to 112,959.40, 169,439.10 and 106,047.40 is: 159,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,959.40 : 169,439.10 = 106,047.40 : x
  2. Step 2: Convert to fraction form
    112,959.40/169,439.10 = 106,047.40/x
  3. Step 3: Cross multiply
    112,959.40x = 169,439.10 × 106,047.40
  4. Step 4: Simplify right side
    112,959.40x = 17,968,576,013.34
  5. Step 5: Solve for x
    x = 17,968,576,013.34/112,959.40
  6. Step 6: Final answer
    x = 159,071.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.