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Finding the Fourth Proportional to 142,677, 213,078.55 and 114,639.64

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Solution

The fourth proportional to 142,677, 213,078.55 and 114,639.64 is: 171,206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,677 : 213,078.55 = 114,639.64 : x
  2. Step 2: Convert to fraction form
    142,677/213,078.55 = 114,639.64/x
  3. Step 3: Cross multiply
    142,677x = 213,078.55 × 114,639.64
  4. Step 4: Simplify right side
    142,677x = 24,427,248,263.72
  5. Step 5: Solve for x
    x = 24,427,248,263.72/142,677
  6. Step 6: Final answer
    x = 171,206.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.