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Finding the Fourth Proportional to 153,496.88, 229,820.16 and 78,455.48

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Solution

The fourth proportional to 153,496.88, 229,820.16 and 78,455.48 is: 117,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,496.88 : 229,820.16 = 78,455.48 : x
  2. Step 2: Convert to fraction form
    153,496.88/229,820.16 = 78,455.48/x
  3. Step 3: Cross multiply
    153,496.88x = 229,820.16 × 78,455.48
  4. Step 4: Simplify right side
    153,496.88x = 18,030,650,966.48
  5. Step 5: Solve for x
    x = 18,030,650,966.48/153,496.88
  6. Step 6: Final answer
    x = 117,465.91

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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.