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Finding the Fourth Proportional to 153,468, 230,306.40 and 54,972

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Solution

The fourth proportional to 153,468, 230,306.40 and 54,972 is: 82,495.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,468 : 230,306.40 = 54,972 : x
  2. Step 2: Convert to fraction form
    153,468/230,306.40 = 54,972/x
  3. Step 3: Cross multiply
    153,468x = 230,306.40 × 54,972
  4. Step 4: Simplify right side
    153,468x = 12,660,403,420.80
  5. Step 5: Solve for x
    x = 12,660,403,420.80/153,468
  6. Step 6: Final answer
    x = 82,495.40

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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.