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Finding the Fourth Proportional to 210,543.88, 315,802.86 and 70,290.76

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Solution

The fourth proportional to 210,543.88, 315,802.86 and 70,290.76 is: 105,431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,543.88 : 315,802.86 = 70,290.76 : x
  2. Step 2: Convert to fraction form
    210,543.88/315,802.86 = 70,290.76/x
  3. Step 3: Cross multiply
    210,543.88x = 315,802.86 × 70,290.76
  4. Step 4: Simplify right side
    210,543.88x = 22,198,023,039.57
  5. Step 5: Solve for x
    x = 22,198,023,039.57/210,543.88
  6. Step 6: Final answer
    x = 105,431.81

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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.