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Finding the Fourth Proportional to 216,706.38, 299,054.80 and 141,254.88

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Solution

The fourth proportional to 216,706.38, 299,054.80 and 141,254.88 is: 194,931.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,706.38 : 299,054.80 = 141,254.88 : x
  2. Step 2: Convert to fraction form
    216,706.38/299,054.80 = 141,254.88/x
  3. Step 3: Cross multiply
    216,706.38x = 299,054.80 × 141,254.88
  4. Step 4: Simplify right side
    216,706.38x = 42,242,949,887.42
  5. Step 5: Solve for x
    x = 42,242,949,887.42/216,706.38
  6. Step 6: Final answer
    x = 194,931.73

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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.