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Finding the Fourth Proportional to 438,081.90, 657,122.85 and 105,657.90

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Solution

The fourth proportional to 438,081.90, 657,122.85 and 105,657.90 is: 158,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,081.90 : 657,122.85 = 105,657.90 : x
  2. Step 2: Convert to fraction form
    438,081.90/657,122.85 = 105,657.90/x
  3. Step 3: Cross multiply
    438,081.90x = 657,122.85 × 105,657.90
  4. Step 4: Simplify right side
    438,081.90x = 69,430,220,373.02
  5. Step 5: Solve for x
    x = 69,430,220,373.02/438,081.90
  6. Step 6: Final answer
    x = 158,486.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.