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Finding the Fourth Proportional to 153,142.71, 229,714.06 and 47,969.88

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Solution

The fourth proportional to 153,142.71, 229,714.06 and 47,969.88 is: 71,954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,142.71 : 229,714.06 = 47,969.88 : x
  2. Step 2: Convert to fraction form
    153,142.71/229,714.06 = 47,969.88/x
  3. Step 3: Cross multiply
    153,142.71x = 229,714.06 × 47,969.88
  4. Step 4: Simplify right side
    153,142.71x = 11,019,355,892.51
  5. Step 5: Solve for x
    x = 11,019,355,892.51/153,142.71
  6. Step 6: Final answer
    x = 71,954.82

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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.