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Finding the Fourth Proportional to 115,417.78, 159,342.77 and 87,978.44

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Solution

The fourth proportional to 115,417.78, 159,342.77 and 87,978.44 is: 121,460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,417.78 : 159,342.77 = 87,978.44 : x
  2. Step 2: Convert to fraction form
    115,417.78/159,342.77 = 87,978.44/x
  3. Step 3: Cross multiply
    115,417.78x = 159,342.77 × 87,978.44
  4. Step 4: Simplify right side
    115,417.78x = 14,018,728,948.18
  5. Step 5: Solve for x
    x = 14,018,728,948.18/115,417.78
  6. Step 6: Final answer
    x = 121,460.74

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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.