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Finding the Fourth Proportional to 210,700.50, 315,984.86 and 70,426.32

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Solution

The fourth proportional to 210,700.50, 315,984.86 and 70,426.32 is: 105,617.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,700.50 : 315,984.86 = 70,426.32 : x
  2. Step 2: Convert to fraction form
    210,700.50/315,984.86 = 70,426.32/x
  3. Step 3: Cross multiply
    210,700.50x = 315,984.86 × 70,426.32
  4. Step 4: Simplify right side
    210,700.50x = 22,253,650,865.52
  5. Step 5: Solve for x
    x = 22,253,650,865.52/210,700.50
  6. Step 6: Final answer
    x = 105,617.46

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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.