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Finding the Fourth Proportional to 77,146.29, 106,461.34 and 43,154.64

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Solution

The fourth proportional to 77,146.29, 106,461.34 and 43,154.64 is: 59,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,146.29 : 106,461.34 = 43,154.64 : x
  2. Step 2: Convert to fraction form
    77,146.29/106,461.34 = 43,154.64/x
  3. Step 3: Cross multiply
    77,146.29x = 106,461.34 × 43,154.64
  4. Step 4: Simplify right side
    77,146.29x = 4,594,300,693.73
  5. Step 5: Solve for x
    x = 4,594,300,693.73/77,146.29
  6. Step 6: Final answer
    x = 59,553.10

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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.