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Finding the Fourth Proportional to 213,139.74, 294,132.87 and 117,646.47

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Solution

The fourth proportional to 213,139.74, 294,132.87 and 117,646.47 is: 162,352.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,139.74 : 294,132.87 = 117,646.47 : x
  2. Step 2: Convert to fraction form
    213,139.74/294,132.87 = 117,646.47/x
  3. Step 3: Cross multiply
    213,139.74x = 294,132.87 × 117,646.47
  4. Step 4: Simplify right side
    213,139.74x = 34,603,693,866.47
  5. Step 5: Solve for x
    x = 34,603,693,866.47/213,139.74
  6. Step 6: Final answer
    x = 162,352.14

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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.