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Finding the Fourth Proportional to 210,678.49, 316,049.20 and 77,548.62

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Solution

The fourth proportional to 210,678.49, 316,049.20 and 77,548.62 is: 116,334.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,678.49 : 316,049.20 = 77,548.62 : x
  2. Step 2: Convert to fraction form
    210,678.49/316,049.20 = 77,548.62/x
  3. Step 3: Cross multiply
    210,678.49x = 316,049.20 × 77,548.62
  4. Step 4: Simplify right side
    210,678.49x = 24,509,179,118.23
  5. Step 5: Solve for x
    x = 24,509,179,118.23/210,678.49
  6. Step 6: Final answer
    x = 116,334.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.