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Finding the Fourth Proportional to 153,358.76, 230,085.08 and 78,531.88

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Solution

The fourth proportional to 153,358.76, 230,085.08 and 78,531.88 is: 117,821.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,358.76 : 230,085.08 = 78,531.88 : x
  2. Step 2: Convert to fraction form
    153,358.76/230,085.08 = 78,531.88/x
  3. Step 3: Cross multiply
    153,358.76x = 230,085.08 × 78,531.88
  4. Step 4: Simplify right side
    153,358.76x = 18,069,014,415.68
  5. Step 5: Solve for x
    x = 18,069,014,415.68/153,358.76
  6. Step 6: Final answer
    x = 117,821.86

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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.