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Finding the Fourth Proportional to 210,113.87, 289,945.31 and 119,457.32

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Solution

The fourth proportional to 210,113.87, 289,945.31 and 119,457.32 is: 164,844.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,113.87 : 289,945.31 = 119,457.32 : x
  2. Step 2: Convert to fraction form
    210,113.87/289,945.31 = 119,457.32/x
  3. Step 3: Cross multiply
    210,113.87x = 289,945.31 × 119,457.32
  4. Step 4: Simplify right side
    210,113.87x = 34,636,087,632.16
  5. Step 5: Solve for x
    x = 34,636,087,632.16/210,113.87
  6. Step 6: Final answer
    x = 164,844.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.