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Finding the Fourth Proportional to 212,106.64, 292,709.13 and 116,614

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Solution

The fourth proportional to 212,106.64, 292,709.13 and 116,614 is: 160,928.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,106.64 : 292,709.13 = 116,614 : x
  2. Step 2: Convert to fraction form
    212,106.64/292,709.13 = 116,614/x
  3. Step 3: Cross multiply
    212,106.64x = 292,709.13 × 116,614
  4. Step 4: Simplify right side
    212,106.64x = 34,133,982,485.82
  5. Step 5: Solve for x
    x = 34,133,982,485.82/212,106.64
  6. Step 6: Final answer
    x = 160,928.40

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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.