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Finding the Fourth Proportional to 153,605.83, 212,016.14 and 100,037.83

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Solution

The fourth proportional to 153,605.83, 212,016.14 and 100,037.83 is: 138,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,605.83 : 212,016.14 = 100,037.83 : x
  2. Step 2: Convert to fraction form
    153,605.83/212,016.14 = 100,037.83/x
  3. Step 3: Cross multiply
    153,605.83x = 212,016.14 × 100,037.83
  4. Step 4: Simplify right side
    153,605.83x = 21,209,634,570.58
  5. Step 5: Solve for x
    x = 21,209,634,570.58/153,605.83
  6. Step 6: Final answer
    x = 138,078.32

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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.