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Finding the Fourth Proportional to 152,046.76, 209,824 and 84,978.76

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Solution

The fourth proportional to 152,046.76, 209,824 and 84,978.76 is: 117,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,046.76 : 209,824 = 84,978.76 : x
  2. Step 2: Convert to fraction form
    152,046.76/209,824 = 84,978.76/x
  3. Step 3: Cross multiply
    152,046.76x = 209,824 × 84,978.76
  4. Step 4: Simplify right side
    152,046.76x = 17,830,583,338.24
  5. Step 5: Solve for x
    x = 17,830,583,338.24/152,046.76
  6. Step 6: Final answer
    x = 117,270.39

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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.