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Finding the Fourth Proportional to 210,603.74, 290,633.10 and 119,968.10

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Solution

The fourth proportional to 210,603.74, 290,633.10 and 119,968.10 is: 165,555.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,603.74 : 290,633.10 = 119,968.10 : x
  2. Step 2: Convert to fraction form
    210,603.74/290,633.10 = 119,968.10/x
  3. Step 3: Cross multiply
    210,603.74x = 290,633.10 × 119,968.10
  4. Step 4: Simplify right side
    210,603.74x = 34,866,700,804.11
  5. Step 5: Solve for x
    x = 34,866,700,804.11/210,603.74
  6. Step 6: Final answer
    x = 165,555.94

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1.5x scale

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.