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Finding the Fourth Proportional to 153,300.90, 229,962.81 and 40,978.54

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Solution

The fourth proportional to 153,300.90, 229,962.81 and 40,978.54 is: 61,470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,300.90 : 229,962.81 = 40,978.54 : x
  2. Step 2: Convert to fraction form
    153,300.90/229,962.81 = 40,978.54/x
  3. Step 3: Cross multiply
    153,300.90x = 229,962.81 × 40,978.54
  4. Step 4: Simplify right side
    153,300.90x = 9,423,540,649.22
  5. Step 5: Solve for x
    x = 9,423,540,649.22/153,300.90
  6. Step 6: Final answer
    x = 61,470.87

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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.