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Finding the Fourth Proportional to 72,810.06, 100,470.15 and 40,978.41

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Solution

The fourth proportional to 72,810.06, 100,470.15 and 40,978.41 is: 56,545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,810.06 : 100,470.15 = 40,978.41 : x
  2. Step 2: Convert to fraction form
    72,810.06/100,470.15 = 40,978.41/x
  3. Step 3: Cross multiply
    72,810.06x = 100,470.15 × 40,978.41
  4. Step 4: Simplify right side
    72,810.06x = 4,117,106,999.46
  5. Step 5: Solve for x
    x = 4,117,106,999.46/72,810.06
  6. Step 6: Final answer
    x = 56,545.85

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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.