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Finding the Fourth Proportional to 210,685.94, 290,746.70 and 115,193.42

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Solution

The fourth proportional to 210,685.94, 290,746.70 and 115,193.42 is: 158,966.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,685.94 : 290,746.70 = 115,193.42 : x
  2. Step 2: Convert to fraction form
    210,685.94/290,746.70 = 115,193.42/x
  3. Step 3: Cross multiply
    210,685.94x = 290,746.70 × 115,193.42
  4. Step 4: Simplify right side
    210,685.94x = 33,492,106,726.71
  5. Step 5: Solve for x
    x = 33,492,106,726.71/210,685.94
  6. Step 6: Final answer
    x = 158,966.98

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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.