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Finding the Fourth Proportional to 155,077.86, 214,053.86 and 90,564.50

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Solution

The fourth proportional to 155,077.86, 214,053.86 and 90,564.50 is: 125,006.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,077.86 : 214,053.86 = 90,564.50 : x
  2. Step 2: Convert to fraction form
    155,077.86/214,053.86 = 90,564.50/x
  3. Step 3: Cross multiply
    155,077.86x = 214,053.86 × 90,564.50
  4. Step 4: Simplify right side
    155,077.86x = 19,385,680,803.97
  5. Step 5: Solve for x
    x = 19,385,680,803.97/155,077.86
  6. Step 6: Final answer
    x = 125,006.12

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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.