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Finding the Fourth Proportional to 210,718.68, 290,759.14 and 120,078.46

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Solution

The fourth proportional to 210,718.68, 290,759.14 and 120,078.46 is: 165,689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,718.68 : 290,759.14 = 120,078.46 : x
  2. Step 2: Convert to fraction form
    210,718.68/290,759.14 = 120,078.46/x
  3. Step 3: Cross multiply
    210,718.68x = 290,759.14 × 120,078.46
  4. Step 4: Simplify right side
    210,718.68x = 34,913,909,762.12
  5. Step 5: Solve for x
    x = 34,913,909,762.12/210,718.68
  6. Step 6: Final answer
    x = 165,689.68

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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.