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Finding the Fourth Proportional to 138,802.80, 208,342.44 and 76,502.64

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Solution

The fourth proportional to 138,802.80, 208,342.44 and 76,502.64 is: 114,830.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,802.80 : 208,342.44 = 76,502.64 : x
  2. Step 2: Convert to fraction form
    138,802.80/208,342.44 = 76,502.64/x
  3. Step 3: Cross multiply
    138,802.80x = 208,342.44 × 76,502.64
  4. Step 4: Simplify right side
    138,802.80x = 15,938,746,684.04
  5. Step 5: Solve for x
    x = 15,938,746,684.04/138,802.80
  6. Step 6: Final answer
    x = 114,830.15

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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.