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Finding the Fourth Proportional to 178,550, 246,398.31 and 97,978.87

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Solution

The fourth proportional to 178,550, 246,398.31 and 97,978.87 is: 135,210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,550 : 246,398.31 = 97,978.87 : x
  2. Step 2: Convert to fraction form
    178,550/246,398.31 = 97,978.87/x
  3. Step 3: Cross multiply
    178,550x = 246,398.31 × 97,978.87
  4. Step 4: Simplify right side
    178,550x = 24,141,827,983.71
  5. Step 5: Solve for x
    x = 24,141,827,983.71/178,550
  6. Step 6: Final answer
    x = 135,210.46

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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.