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Finding the Fourth Proportional to 205,987.30, 308,980.95 and 81,312.10

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Solution

The fourth proportional to 205,987.30, 308,980.95 and 81,312.10 is: 121,968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,987.30 : 308,980.95 = 81,312.10 : x
  2. Step 2: Convert to fraction form
    205,987.30/308,980.95 = 81,312.10/x
  3. Step 3: Cross multiply
    205,987.30x = 308,980.95 × 81,312.10
  4. Step 4: Simplify right side
    205,987.30x = 25,123,889,904.50
  5. Step 5: Solve for x
    x = 25,123,889,904.50/205,987.30
  6. Step 6: Final answer
    x = 121,968.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.