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Finding the Fourth Proportional to 210,403.84, 315,537.60 and 70,124.80

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Solution

The fourth proportional to 210,403.84, 315,537.60 and 70,124.80 is: 105,164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,403.84 : 315,537.60 = 70,124.80 : x
  2. Step 2: Convert to fraction form
    210,403.84/315,537.60 = 70,124.80/x
  3. Step 3: Cross multiply
    210,403.84x = 315,537.60 × 70,124.80
  4. Step 4: Simplify right side
    210,403.84x = 22,127,011,092.48
  5. Step 5: Solve for x
    x = 22,127,011,092.48/210,403.84
  6. Step 6: Final answer
    x = 105,164.48

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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.