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Finding the Fourth Proportional to 106,785, 147,374.16 and 61,464.88

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Solution

The fourth proportional to 106,785, 147,374.16 and 61,464.88 is: 84,827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,785 : 147,374.16 = 61,464.88 : x
  2. Step 2: Convert to fraction form
    106,785/147,374.16 = 61,464.88/x
  3. Step 3: Cross multiply
    106,785x = 147,374.16 × 61,464.88
  4. Step 4: Simplify right side
    106,785x = 9,058,335,059.50
  5. Step 5: Solve for x
    x = 9,058,335,059.50/106,785
  6. Step 6: Final answer
    x = 84,827.79

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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.