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Finding the Fourth Proportional to 177,560, 245,032.80 and 98,077.12

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Solution

The fourth proportional to 177,560, 245,032.80 and 98,077.12 is: 135,346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,560 : 245,032.80 = 98,077.12 : x
  2. Step 2: Convert to fraction form
    177,560/245,032.80 = 98,077.12/x
  3. Step 3: Cross multiply
    177,560x = 245,032.80 × 98,077.12
  4. Step 4: Simplify right side
    177,560x = 24,032,111,329.54
  5. Step 5: Solve for x
    x = 24,032,111,329.54/177,560
  6. Step 6: Final answer
    x = 135,346.43

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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.