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Finding the Fourth Proportional to 210,135.87, 290,012.00 and 117,010.98

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Solution

The fourth proportional to 210,135.87, 290,012.00 and 117,010.98 is: 161,488.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,135.87 : 290,012.00 = 117,010.98 : x
  2. Step 2: Convert to fraction form
    210,135.87/290,012.00 = 117,010.98/x
  3. Step 3: Cross multiply
    210,135.87x = 290,012.00 × 117,010.98
  4. Step 4: Simplify right side
    210,135.87x = 33,934,587,746.71
  5. Step 5: Solve for x
    x = 33,934,587,746.71/210,135.87
  6. Step 6: Final answer
    x = 161,488.79

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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.