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Finding the Fourth Proportional to 213,018.65, 293,966.68 and 117,528.15

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Solution

The fourth proportional to 213,018.65, 293,966.68 and 117,528.15 is: 162,189.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,018.65 : 293,966.68 = 117,528.15 : x
  2. Step 2: Convert to fraction form
    213,018.65/293,966.68 = 117,528.15/x
  3. Step 3: Cross multiply
    213,018.65x = 293,966.68 × 117,528.15
  4. Step 4: Simplify right side
    213,018.65x = 34,549,360,062.04
  5. Step 5: Solve for x
    x = 34,549,360,062.04/213,018.65
  6. Step 6: Final answer
    x = 162,189.37

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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.