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Finding the Fourth Proportional to 207,930.64, 286,944.38 and 112,437.40

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Solution

The fourth proportional to 207,930.64, 286,944.38 and 112,437.40 is: 155,163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,930.64 : 286,944.38 = 112,437.40 : x
  2. Step 2: Convert to fraction form
    207,930.64/286,944.38 = 112,437.40/x
  3. Step 3: Cross multiply
    207,930.64x = 286,944.38 × 112,437.40
  4. Step 4: Simplify right side
    207,930.64x = 32,263,280,031.81
  5. Step 5: Solve for x
    x = 32,263,280,031.81/207,930.64
  6. Step 6: Final answer
    x = 155,163.66

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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.