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Finding the Fourth Proportional to 210,854.90, 316,232.66 and 77,662.82

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Solution

The fourth proportional to 210,854.90, 316,232.66 and 77,662.82 is: 116,475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,854.90 : 316,232.66 = 77,662.82 : x
  2. Step 2: Convert to fraction form
    210,854.90/316,232.66 = 77,662.82/x
  3. Step 3: Cross multiply
    210,854.90x = 316,232.66 × 77,662.82
  4. Step 4: Simplify right side
    210,854.90x = 24,559,518,764.69
  5. Step 5: Solve for x
    x = 24,559,518,764.69/210,854.90
  6. Step 6: Final answer
    x = 116,475.92

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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.