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Finding the Fourth Proportional to 210,906.99, 291,042.32 and 115,417.71

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Solution

The fourth proportional to 210,906.99, 291,042.32 and 115,417.71 is: 159,271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,906.99 : 291,042.32 = 115,417.71 : x
  2. Step 2: Convert to fraction form
    210,906.99/291,042.32 = 115,417.71/x
  3. Step 3: Cross multiply
    210,906.99x = 291,042.32 × 115,417.71
  4. Step 4: Simplify right side
    210,906.99x = 33,591,437,510.40
  5. Step 5: Solve for x
    x = 33,591,437,510.40/210,906.99
  6. Step 6: Final answer
    x = 159,271.33

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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.