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Finding the Fourth Proportional to 152,617.77, 210,634.20 and 84,649.86

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Solution

The fourth proportional to 152,617.77, 210,634.20 and 84,649.86 is: 116,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,617.77 : 210,634.20 = 84,649.86 : x
  2. Step 2: Convert to fraction form
    152,617.77/210,634.20 = 84,649.86/x
  3. Step 3: Cross multiply
    152,617.77x = 210,634.20 × 84,649.86
  4. Step 4: Simplify right side
    152,617.77x = 17,830,155,541.21
  5. Step 5: Solve for x
    x = 17,830,155,541.21/152,617.77
  6. Step 6: Final answer
    x = 116,828.83

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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.