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Finding the Fourth Proportional to 158,970.86, 219,379.74 and 87,355.50

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Solution

The fourth proportional to 158,970.86, 219,379.74 and 87,355.50 is: 120,550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,970.86 : 219,379.74 = 87,355.50 : x
  2. Step 2: Convert to fraction form
    158,970.86/219,379.74 = 87,355.50/x
  3. Step 3: Cross multiply
    158,970.86x = 219,379.74 × 87,355.50
  4. Step 4: Simplify right side
    158,970.86x = 19,164,026,877.57
  5. Step 5: Solve for x
    x = 19,164,026,877.57/158,970.86
  6. Step 6: Final answer
    x = 120,550.57

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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.