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Finding the Fourth Proportional to 212,145, 292,760.16 and 116,658.24

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Solution

The fourth proportional to 212,145, 292,760.16 and 116,658.24 is: 160,988.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,145 : 292,760.16 = 116,658.24 : x
  2. Step 2: Convert to fraction form
    212,145/292,760.16 = 116,658.24/x
  3. Step 3: Cross multiply
    212,145x = 292,760.16 × 116,658.24
  4. Step 4: Simplify right side
    212,145x = 34,152,885,007.72
  5. Step 5: Solve for x
    x = 34,152,885,007.72/212,145
  6. Step 6: Final answer
    x = 160,988.40

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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.