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Finding the Fourth Proportional to 102,966.40, 142,109.76 and 74,661.76

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Solution

The fourth proportional to 102,966.40, 142,109.76 and 74,661.76 is: 103,044.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,966.40 : 142,109.76 = 74,661.76 : x
  2. Step 2: Convert to fraction form
    102,966.40/142,109.76 = 74,661.76/x
  3. Step 3: Cross multiply
    102,966.40x = 142,109.76 × 74,661.76
  4. Step 4: Simplify right side
    102,966.40x = 10,610,164,794.78
  5. Step 5: Solve for x
    x = 10,610,164,794.78/102,966.40
  6. Step 6: Final answer
    x = 103,044.92

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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.