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Finding the Fourth Proportional to 210,784.32, 316,300.95 and 77,757.48

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Solution

The fourth proportional to 210,784.32, 316,300.95 and 77,757.48 is: 116,682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,784.32 : 316,300.95 = 77,757.48 : x
  2. Step 2: Convert to fraction form
    210,784.32/316,300.95 = 77,757.48/x
  3. Step 3: Cross multiply
    210,784.32x = 316,300.95 × 77,757.48
  4. Step 4: Simplify right side
    210,784.32x = 24,594,764,793.61
  5. Step 5: Solve for x
    x = 24,594,764,793.61/210,784.32
  6. Step 6: Final answer
    x = 116,682.14

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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.