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Finding the Fourth Proportional to 210,894.30, 291,033.82 and 115,400.98

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Solution

The fourth proportional to 210,894.30, 291,033.82 and 115,400.98 is: 159,253.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,894.30 : 291,033.82 = 115,400.98 : x
  2. Step 2: Convert to fraction form
    210,894.30/291,033.82 = 115,400.98/x
  3. Step 3: Cross multiply
    210,894.30x = 291,033.82 × 115,400.98
  4. Step 4: Simplify right side
    210,894.30x = 33,585,588,041.14
  5. Step 5: Solve for x
    x = 33,585,588,041.14/210,894.30
  6. Step 6: Final answer
    x = 159,253.18

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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.