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Finding the Fourth Proportional to 213,870, 295,130.52 and 117,071.94

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Solution

The fourth proportional to 213,870, 295,130.52 and 117,071.94 is: 161,553.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,870 : 295,130.52 = 117,071.94 : x
  2. Step 2: Convert to fraction form
    213,870/295,130.52 = 117,071.94/x
  3. Step 3: Cross multiply
    213,870x = 295,130.52 × 117,071.94
  4. Step 4: Simplify right side
    213,870x = 34,551,502,529.61
  5. Step 5: Solve for x
    x = 34,551,502,529.61/213,870
  6. Step 6: Final answer
    x = 161,553.76

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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.