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Finding the Fourth Proportional to 153,232.44, 229,987.71 and 78,404.28

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Solution

The fourth proportional to 153,232.44, 229,987.71 and 78,404.28 is: 117,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,232.44 : 229,987.71 = 78,404.28 : x
  2. Step 2: Convert to fraction form
    153,232.44/229,987.71 = 78,404.28/x
  3. Step 3: Cross multiply
    153,232.44x = 229,987.71 × 78,404.28
  4. Step 4: Simplify right side
    153,232.44x = 18,032,020,811.40
  5. Step 5: Solve for x
    x = 18,032,020,811.40/153,232.44
  6. Step 6: Final answer
    x = 117,677.57

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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.