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Finding the Fourth Proportional to 107,143.38, 147,856.68 and 61,820.82

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Solution

The fourth proportional to 107,143.38, 147,856.68 and 61,820.82 is: 85,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,143.38 : 147,856.68 = 61,820.82 : x
  2. Step 2: Convert to fraction form
    107,143.38/147,856.68 = 61,820.82/x
  3. Step 3: Cross multiply
    107,143.38x = 147,856.68 × 61,820.82
  4. Step 4: Simplify right side
    107,143.38x = 9,140,621,200.08
  5. Step 5: Solve for x
    x = 9,140,621,200.08/107,143.38
  6. Step 6: Final answer
    x = 85,312.05

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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.