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Finding the Fourth Proportional to 153,462.64, 211,705.10 and 119,236.90

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Solution

The fourth proportional to 153,462.64, 211,705.10 and 119,236.90 is: 164,489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,462.64 : 211,705.10 = 119,236.90 : x
  2. Step 2: Convert to fraction form
    153,462.64/211,705.10 = 119,236.90/x
  3. Step 3: Cross multiply
    153,462.64x = 211,705.10 × 119,236.90
  4. Step 4: Simplify right side
    153,462.64x = 25,243,059,838.19
  5. Step 5: Solve for x
    x = 25,243,059,838.19/153,462.64
  6. Step 6: Final answer
    x = 164,489.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.