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Finding the Fourth Proportional to 210,218.16, 290,101.88 and 114,727

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Solution

The fourth proportional to 210,218.16, 290,101.88 and 114,727 is: 158,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,218.16 : 290,101.88 = 114,727 : x
  2. Step 2: Convert to fraction form
    210,218.16/290,101.88 = 114,727/x
  3. Step 3: Cross multiply
    210,218.16x = 290,101.88 × 114,727
  4. Step 4: Simplify right side
    210,218.16x = 33,282,518,386.76
  5. Step 5: Solve for x
    x = 33,282,518,386.76/210,218.16
  6. Step 6: Final answer
    x = 158,323.71

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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.