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Finding the Fourth Proportional to 159,077.76, 238,617 and 74,776.08

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Solution

The fourth proportional to 159,077.76, 238,617 and 74,776.08 is: 112,164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,077.76 : 238,617 = 74,776.08 : x
  2. Step 2: Convert to fraction form
    159,077.76/238,617 = 74,776.08/x
  3. Step 3: Cross multiply
    159,077.76x = 238,617 × 74,776.08
  4. Step 4: Simplify right side
    159,077.76x = 17,842,843,881.36
  5. Step 5: Solve for x
    x = 17,842,843,881.36/159,077.76
  6. Step 6: Final answer
    x = 112,164.29

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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.