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Finding the Fourth Proportional to 210,735.86, 316,103.78 and 77,567.00

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Solution

The fourth proportional to 210,735.86, 316,103.78 and 77,567.00 is: 116,350.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,735.86 : 316,103.78 = 77,567.00 : x
  2. Step 2: Convert to fraction form
    210,735.86/316,103.78 = 77,567.00/x
  3. Step 3: Cross multiply
    210,735.86x = 316,103.78 × 77,567.00
  4. Step 4: Simplify right side
    210,735.86x = 24,519,220,516.66
  5. Step 5: Solve for x
    x = 24,519,220,516.66/210,735.86
  6. Step 6: Final answer
    x = 116,350.49

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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.