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Finding the Fourth Proportional to 152,955.66, 211,078.63 and 84,978.91

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Solution

The fourth proportional to 152,955.66, 211,078.63 and 84,978.91 is: 117,270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,955.66 : 211,078.63 = 84,978.91 : x
  2. Step 2: Convert to fraction form
    152,955.66/211,078.63 = 84,978.91/x
  3. Step 3: Cross multiply
    152,955.66x = 211,078.63 × 84,978.91
  4. Step 4: Simplify right side
    152,955.66x = 17,937,231,793.76
  5. Step 5: Solve for x
    x = 17,937,231,793.76/152,955.66
  6. Step 6: Final answer
    x = 117,270.79

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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.