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Finding the Fourth Proportional to 212,856.04, 319,284.06 and 86,509

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Solution

The fourth proportional to 212,856.04, 319,284.06 and 86,509 is: 129,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,856.04 : 319,284.06 = 86,509 : x
  2. Step 2: Convert to fraction form
    212,856.04/319,284.06 = 86,509/x
  3. Step 3: Cross multiply
    212,856.04x = 319,284.06 × 86,509
  4. Step 4: Simplify right side
    212,856.04x = 27,620,944,746.54
  5. Step 5: Solve for x
    x = 27,620,944,746.54/212,856.04
  6. Step 6: Final answer
    x = 129,763.50

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.