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Finding the Fourth Proportional to 210,794.32, 316,315.95 and 77,767.48

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Solution

The fourth proportional to 210,794.32, 316,315.95 and 77,767.48 is: 116,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,794.32 : 316,315.95 = 77,767.48 : x
  2. Step 2: Convert to fraction form
    210,794.32/316,315.95 = 77,767.48/x
  3. Step 3: Cross multiply
    210,794.32x = 316,315.95 × 77,767.48
  4. Step 4: Simplify right side
    210,794.32x = 24,599,094,315.31
  5. Step 5: Solve for x
    x = 24,599,094,315.31/210,794.32
  6. Step 6: Final answer
    x = 116,697.14

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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.