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Finding the Fourth Proportional to 153,036, 229,567.23 and 42,228

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Solution

The fourth proportional to 153,036, 229,567.23 and 42,228 is: 63,345.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,036 : 229,567.23 = 42,228 : x
  2. Step 2: Convert to fraction form
    153,036/229,567.23 = 42,228/x
  3. Step 3: Cross multiply
    153,036x = 229,567.23 × 42,228
  4. Step 4: Simplify right side
    153,036x = 9,694,164,988.44
  5. Step 5: Solve for x
    x = 9,694,164,988.44/153,036
  6. Step 6: Final answer
    x = 63,345.65

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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.