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Finding the Fourth Proportional to 210,033.69, 315,113.10 and 97,780.24

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Solution

The fourth proportional to 210,033.69, 315,113.10 and 97,780.24 is: 146,699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,033.69 : 315,113.10 = 97,780.24 : x
  2. Step 2: Convert to fraction form
    210,033.69/315,113.10 = 97,780.24/x
  3. Step 3: Cross multiply
    210,033.69x = 315,113.10 × 97,780.24
  4. Step 4: Simplify right side
    210,033.69x = 30,811,834,545.14
  5. Step 5: Solve for x
    x = 30,811,834,545.14/210,033.69
  6. Step 6: Final answer
    x = 146,699.49

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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.